Finding the Fourth Proportional to 253.82, 380.72 and 109.55

Step by Step Solution

1. Step 1: Write the proportion equation
   253.82 : 380.72 = 109.55 : x
2. Step 2: Convert to fraction form
   253.82/380.72 = 109.55/x
3. Step 3: Cross multiply
   253.82x = 380.72 × 109.55
4. Step 4: Simplify right side
   253.82x = 41,705.42
5. Step 5: Solve for x
   x = 41,705.42/253.82
6. Step 6: Final answer
   x = 164.31