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Finding the Fourth Proportional to 87.28, 130.41 and 84.26

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Solution

The fourth proportional to 87.28, 130.41 and 84.26 is: 125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.28 : 130.41 = 84.26 : x
  2. Step 2: Convert to fraction form
    87.28/130.41 = 84.26/x
  3. Step 3: Cross multiply
    87.28x = 130.41 × 84.26
  4. Step 4: Simplify right side
    87.28x = 10,987.27
  5. Step 5: Solve for x
    x = 10,987.27/87.28
  6. Step 6: Final answer
    x = 125.89

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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.