The HD4350 is about as fast as a GT220, so it will be a fair sight faster than the GT210.
Seeing as those games are older, and assuming you have a weak PSU and can't get a better card.....
You should be fine. My partner plays games on a HD5450 (basically a new version of the 4350) with similar system requirements on fair-medium settings at 12xx x 1xxx resolutions and gets 60+ fps.
Alot of people who haven't dipped around in the low end GPU market themselves automatically write them off as being too slow. But for older games like this you should be fine to play them at medium settings with 50+ fps.