Let ABCD be a square. E, F, G, H be the mid points of its sides $$\overline{AB}$$, $$\overline{BC}$$, $$\overline{CD}$$, $$\overline{DA}$$ respectively. Let P, Q, R, S be the points of intersection of the line segments $$\overline{AF}$$, $$\overline{BG}$$, $$\overline{CH}$$, $$\overline{DE}$$ inside the square. The ratio of the areas $$\triangle PQRS \colon \triangle ABCD$$ is _________ (give the value of the ratio as a decimal)