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Finding the Fourth Proportional to 87.31, 130.85 and 48.77

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Solution

The fourth proportional to 87.31, 130.85 and 48.77 is: 73.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.31 : 130.85 = 48.77 : x
  2. Step 2: Convert to fraction form
    87.31/130.85 = 48.77/x
  3. Step 3: Cross multiply
    87.31x = 130.85 × 48.77
  4. Step 4: Simplify right side
    87.31x = 6,381.55
  5. Step 5: Solve for x
    x = 6,381.55/87.31
  6. Step 6: Final answer
    x = 73.09

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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.