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Finding the Fourth Proportional to 361.60, 542.31 and 142.23

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Solution

The fourth proportional to 361.60, 542.31 and 142.23 is: 213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.60 : 542.31 = 142.23 : x
  2. Step 2: Convert to fraction form
    361.60/542.31 = 142.23/x
  3. Step 3: Cross multiply
    361.60x = 542.31 × 142.23
  4. Step 4: Simplify right side
    361.60x = 77,132.75
  5. Step 5: Solve for x
    x = 77,132.75/361.60
  6. Step 6: Final answer
    x = 213.31

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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.