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Finding the Fourth Proportional to 87.40, 131.15 and 48.85

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Solution

The fourth proportional to 87.40, 131.15 and 48.85 is: 73.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.40 : 131.15 = 48.85 : x
  2. Step 2: Convert to fraction form
    87.40/131.15 = 48.85/x
  3. Step 3: Cross multiply
    87.40x = 131.15 × 48.85
  4. Step 4: Simplify right side
    87.40x = 6,407.21
  5. Step 5: Solve for x
    x = 6,407.21/87.40
  6. Step 6: Final answer
    x = 73.31

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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.