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Finding the Fourth Proportional to 87.34, 130.22 and 82.18

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Solution

The fourth proportional to 87.34, 130.22 and 82.18 is: 122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.34 : 130.22 = 82.18 : x
  2. Step 2: Convert to fraction form
    87.34/130.22 = 82.18/x
  3. Step 3: Cross multiply
    87.34x = 130.22 × 82.18
  4. Step 4: Simplify right side
    87.34x = 10,701.48
  5. Step 5: Solve for x
    x = 10,701.48/87.34
  6. Step 6: Final answer
    x = 122.53

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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.