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Finding the Fourth Proportional to 100.76, 151.16 and 77.69

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Solution

The fourth proportional to 100.76, 151.16 and 77.69 is: 116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.76 : 151.16 = 77.69 : x
  2. Step 2: Convert to fraction form
    100.76/151.16 = 77.69/x
  3. Step 3: Cross multiply
    100.76x = 151.16 × 77.69
  4. Step 4: Simplify right side
    100.76x = 11,743.61
  5. Step 5: Solve for x
    x = 11,743.61/100.76
  6. Step 6: Final answer
    x = 116.56

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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.