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Finding the Fourth Proportional to 87.74, 130.83 and 87.62

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Solution

The fourth proportional to 87.74, 130.83 and 87.62 is: 130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 130.83 = 87.62 : x
  2. Step 2: Convert to fraction form
    87.74/130.83 = 87.62/x
  3. Step 3: Cross multiply
    87.74x = 130.83 × 87.62
  4. Step 4: Simplify right side
    87.74x = 11,462.89
  5. Step 5: Solve for x
    x = 11,462.89/87.74
  6. Step 6: Final answer
    x = 130.65

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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.