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Finding the Fourth Proportional to 99.76, 149.38 and 76.88

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Solution

The fourth proportional to 99.76, 149.38 and 76.88 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.76 : 149.38 = 76.88 : x
  2. Step 2: Convert to fraction form
    99.76/149.38 = 76.88/x
  3. Step 3: Cross multiply
    99.76x = 149.38 × 76.88
  4. Step 4: Simplify right side
    99.76x = 11,484.33
  5. Step 5: Solve for x
    x = 11,484.33/99.76
  6. Step 6: Final answer
    x = 115.12

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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.