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Finding the Fourth Proportional to 100.53, 151.47 and 83.79

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Solution

The fourth proportional to 100.53, 151.47 and 83.79 is: 126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.53 : 151.47 = 83.79 : x
  2. Step 2: Convert to fraction form
    100.53/151.47 = 83.79/x
  3. Step 3: Cross multiply
    100.53x = 151.47 × 83.79
  4. Step 4: Simplify right side
    100.53x = 12,691.67
  5. Step 5: Solve for x
    x = 12,691.67/100.53
  6. Step 6: Final answer
    x = 126.25

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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.