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Finding the Fourth Proportional to 95.31, 131.15 and 87.85

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Solution

The fourth proportional to 95.31, 131.15 and 87.85 is: 120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.31 : 131.15 = 87.85 : x
  2. Step 2: Convert to fraction form
    95.31/131.15 = 87.85/x
  3. Step 3: Cross multiply
    95.31x = 131.15 × 87.85
  4. Step 4: Simplify right side
    95.31x = 11,521.91
  5. Step 5: Solve for x
    x = 11,521.91/95.31
  6. Step 6: Final answer
    x = 120.89

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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.