Due to the periodicity of variations in solar radiation and air temperature their dimensionless values are expanded in Fourier series. Fourier coefficients were determined using data recorded by weather stations in various Egyptian cities. In terms of ambient air temperature, these coefficients are used to calculate solar radiation for specific geographic locations near to weather stations for which solar radiation data are unavailable. Estimates of solar radiation calculated by means of Fourier coefficients are compared with observed solar radiation data based on the number of hours of sunshine for the stations where there were records of sunshine duration. The comparison shows a good agreement between estimated and observed.