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Finding the Fourth Proportional to 240.53, 331.92 and 142.27

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Solution

The fourth proportional to 240.53, 331.92 and 142.27 is: 196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.53 : 331.92 = 142.27 : x
  2. Step 2: Convert to fraction form
    240.53/331.92 = 142.27/x
  3. Step 3: Cross multiply
    240.53x = 331.92 × 142.27
  4. Step 4: Simplify right side
    240.53x = 47,222.26
  5. Step 5: Solve for x
    x = 47,222.26/240.53
  6. Step 6: Final answer
    x = 196.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.