You'll have to look up that video card. It's a renamed 9000 of some sort, which in turn was a renamed 8000, but I don't bother trying to keep up with that ancient crap through multiple recycles / renamings. nVIDIA is about six months behind ATI, and looking to get out of the end-user market. They won't have any response to the HD 5000s until February or March.
If it was once an 8500 or 8600, or higher numbered than that, you've got both KotORs covered.
You need to know that a "9200" is *not* HIGHER than any video card, and a 9400 is merely an 8500. The last three numbers were always what counted, not the first, until the 200s, which are all a big mix and only the 250-260-and up are worth considering, in my view.
This message-writing software is such AWFUL crap! No edits at all!
KotOR-I is now about six years old. Only Intel's onboard chips are unable to run it at all, and some of those are able to do so, finally, if you can get the drivers you need. KotOR-II is newer, with higher standards, but a Business grade card from today probably can handle it as well as KotOR-I. It would be really silly to choose hardware to buy right now based on what any three to five year old game needs to run on.
The HD 4350 is for BUSINESS. It does charts, graphs, presentations, and spreadsheets just fine. It isn't for games at all. Game cards, except whatever nVIDIA is doing between 000 and 240, are in the 600 and up numbers, starting from the HD 3650, HD 4650, HD 4670, HD 4770, HD 5750, HD 5770, HD 3850, HD 4830, HD 4850, HD 4890, HD 5850, and HD 5870 from ATI. Then there are the Geforce 8600, 9600, 8800, 9800, 260, 275, and 285.
When you looked up that 220, what did you learn? What is it renamed from? A 9400 maybe? If so, it's also a business grade video card. I just looked up the KotOR-II requirements, and yes, an HD 4350 will run it. However, I certainly wouldn't settle for a system with that weak of a card, just in case you want to run Mass Effect or Mass Effect II (spiritual descendent sof KotOR, perhaps).