I had the D-Link DGS-2205 (unmanaged switch) working beautifully with my Verizon DSL modem, but when I upgraded to Time-Warner Road Runner Cable, it would not work directly with the switch. I had to get a router for the 360 to connect with the cable modem. Not sure how Virgin broadcasts its signal.
NewEgg has seven 10/100 wired routers under $50 US - check your local tech suppliers.