Finding the Fourth Proportional to 196.42, 271.10 and 137.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.42 : 271.10 = 137.38 : x
2. Step 2: Convert to fraction form
   196.42/271.10 = 137.38/x
3. Step 3: Cross multiply
   196.42x = 271.10 × 137.38
4. Step 4: Simplify right side
   196.42x = 37,243.72
5. Step 5: Solve for x
   x = 37,243.72/196.42
6. Step 6: Final answer
   x = 189.61