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Finding the Fourth Proportional to 87.23, 130.80 and 29.42

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Solution

The fourth proportional to 87.23, 130.80 and 29.42 is: 44.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.23 : 130.80 = 29.42 : x
  2. Step 2: Convert to fraction form
    87.23/130.80 = 29.42/x
  3. Step 3: Cross multiply
    87.23x = 130.80 × 29.42
  4. Step 4: Simplify right side
    87.23x = 3,848.32
  5. Step 5: Solve for x
    x = 3,848.32/87.23
  6. Step 6: Final answer
    x = 44.12

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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.