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Finding the Fourth Proportional to 100.77, 151.25 and 52.71

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Solution

The fourth proportional to 100.77, 151.25 and 52.71 is: 79.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.77 : 151.25 = 52.71 : x
  2. Step 2: Convert to fraction form
    100.77/151.25 = 52.71/x
  3. Step 3: Cross multiply
    100.77x = 151.25 × 52.71
  4. Step 4: Simplify right side
    100.77x = 7,972.12
  5. Step 5: Solve for x
    x = 7,972.12/100.77
  6. Step 6: Final answer
    x = 79.11

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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.