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Finding the Fourth Proportional to 87.28, 130.98 and 50.75

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Solution

The fourth proportional to 87.28, 130.98 and 50.75 is: 76.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.28 : 130.98 = 50.75 : x
  2. Step 2: Convert to fraction form
    87.28/130.98 = 50.75/x
  3. Step 3: Cross multiply
    87.28x = 130.98 × 50.75
  4. Step 4: Simplify right side
    87.28x = 6,647.24
  5. Step 5: Solve for x
    x = 6,647.24/87.28
  6. Step 6: Final answer
    x = 76.16

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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.