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Finding the Fourth Proportional to 87.37, 130.74 and 76.66

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Solution

The fourth proportional to 87.37, 130.74 and 76.66 is: 114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.37 : 130.74 = 76.66 : x
  2. Step 2: Convert to fraction form
    87.37/130.74 = 76.66/x
  3. Step 3: Cross multiply
    87.37x = 130.74 × 76.66
  4. Step 4: Simplify right side
    87.37x = 10,022.31
  5. Step 5: Solve for x
    x = 10,022.31/87.37
  6. Step 6: Final answer
    x = 114.72

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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.