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Finding the Fourth Proportional to 142.67, 213.84 and 51.31

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Solution

The fourth proportional to 142.67, 213.84 and 51.31 is: 76.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.67 : 213.84 = 51.31 : x
  2. Step 2: Convert to fraction form
    142.67/213.84 = 51.31/x
  3. Step 3: Cross multiply
    142.67x = 213.84 × 51.31
  4. Step 4: Simplify right side
    142.67x = 10,972.13
  5. Step 5: Solve for x
    x = 10,972.13/142.67
  6. Step 6: Final answer
    x = 76.91

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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.