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Finding the Fourth Proportional to 87.19, 130.78 and 29.41

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Solution

The fourth proportional to 87.19, 130.78 and 29.41 is: 44.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.19 : 130.78 = 29.41 : x
  2. Step 2: Convert to fraction form
    87.19/130.78 = 29.41/x
  3. Step 3: Cross multiply
    87.19x = 130.78 × 29.41
  4. Step 4: Simplify right side
    87.19x = 3,846.09
  5. Step 5: Solve for x
    x = 3,846.09/87.19
  6. Step 6: Final answer
    x = 44.11

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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.