What Linux Distro Will Run Well On My Computer

I need a Linux distro that works well on my PC. I’ve tried Ubuntu and Mint 15,  but even when just watching YouTube, the performance is bad. This was originally a Windows 8 computer, it has the following hardware.

1.4 GHz AMD Dual Core E1-1200 prosessor

AMD Radeon HD 7310 (integrert)

4 GB RAM500 GB hard drive