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Finding the Fourth Proportional to 100.85, 151.57 and 87.99

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Solution

The fourth proportional to 100.85, 151.57 and 87.99 is: 132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.85 : 151.57 = 87.99 : x
  2. Step 2: Convert to fraction form
    100.85/151.57 = 87.99/x
  3. Step 3: Cross multiply
    100.85x = 151.57 × 87.99
  4. Step 4: Simplify right side
    100.85x = 13,336.19
  5. Step 5: Solve for x
    x = 13,336.19/100.85
  6. Step 6: Final answer
    x = 132.24

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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.