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Finding the Fourth Proportional to 240.42, 361.02 and 132.28

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Solution

The fourth proportional to 240.42, 361.02 and 132.28 is: 198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.42 : 361.02 = 132.28 : x
  2. Step 2: Convert to fraction form
    240.42/361.02 = 132.28/x
  3. Step 3: Cross multiply
    240.42x = 361.02 × 132.28
  4. Step 4: Simplify right side
    240.42x = 47,755.73
  5. Step 5: Solve for x
    x = 47,755.73/240.42
  6. Step 6: Final answer
    x = 198.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.