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Finding the Fourth Proportional to 100.53, 151.40 and 87.84

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Solution

The fourth proportional to 100.53, 151.40 and 87.84 is: 132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.53 : 151.40 = 87.84 : x
  2. Step 2: Convert to fraction form
    100.53/151.40 = 87.84/x
  3. Step 3: Cross multiply
    100.53x = 151.40 × 87.84
  4. Step 4: Simplify right side
    100.53x = 13,299.20
  5. Step 5: Solve for x
    x = 13,299.20/100.53
  6. Step 6: Final answer
    x = 132.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.