The pilot was conducting a personal flight when the airplane had a total loss of engine power during cruise flight. The pilot stated that the flight departed with about 16 gallons of fuel distributed evenly between the left- and right-wing tanks, and both fuel tank gauges indicated about ¾ full before departure. About 30-45 minutes into the flight, the pilot noted that the left fuel tank gauge indicated about ¼ full while the right fuel tank gauge remained about ¾ full. The pilot decided to reposition the fuel selector valve to the right fuel tank to correct the fuel imbalance. The pilot stated that the location of his Apple iPad in the cockpit blocked his view of the right fuel tank gauge, so he made a “mental note” to check the right fuel tank gauge in about 30-45 minutes. The pilot reported that the flight continued uneventfully at 300 ft above ground level until the airplane had a total loss of engine power due to a lack of fuel in the right fuel tank. The engine did not restart after the pilot repositioned the fuel selector valve to BOTH, turned on the electric fuel boost pump, and engaged the electric starter. Both wings were substantially damaged during the subsequent forced landing in a wooded area. The pilot reported that there were no preaccident mechanical failures or malfunctions with the airplane that would have precluded normal operation. The low altitude at which the loss of engine power occurred significantly reduced the amount of time available to the pilot to troubleshoot and restore engine power before the forced landing.