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Finding the Fourth Proportional to 87.80, 132.36 and 86.59

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Solution

The fourth proportional to 87.80, 132.36 and 86.59 is: 130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.80 : 132.36 = 86.59 : x
  2. Step 2: Convert to fraction form
    87.80/132.36 = 86.59/x
  3. Step 3: Cross multiply
    87.80x = 132.36 × 86.59
  4. Step 4: Simplify right side
    87.80x = 11,460.72
  5. Step 5: Solve for x
    x = 11,460.72/87.80
  6. Step 6: Final answer
    x = 130.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.