The Xbox 360 is the leading current generation console, with a huge amount of recognition and an established footprint in homes around the world. The SkyDrive app continues the strategy of bringing people further into Microsoft's ecosystem with extra applications and features across multiple devices.
From the blog post:
The entirely new SkyDrive experience for Xbox 360 spotlights your photos and videos. The app connects the cloud to your Xbox and TV: every photo, video, movie, and other file you put in SkyDrive from Windows or the web will be available on your Xbox-connected TV. Your Windows Phone is also now connected to Xbox and every photo you snap can be available on your TV automatically.
And here's how it works in practice.
You can read more about SkyDrive on Xbox at the Inside Skydrive blog.