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Finding the Fourth Proportional to 87.74, 130.77 and 87.61

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Solution

The fourth proportional to 87.74, 130.77 and 87.61 is: 130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 130.77 = 87.61 : x
  2. Step 2: Convert to fraction form
    87.74/130.77 = 87.61/x
  3. Step 3: Cross multiply
    87.74x = 130.77 × 87.61
  4. Step 4: Simplify right side
    87.74x = 11,455.67
  5. Step 5: Solve for x
    x = 11,455.67/87.74
  6. Step 6: Final answer
    x = 130.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.