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Finding the Fourth Proportional to 99.76, 150.16 and 77.04

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Solution

The fourth proportional to 99.76, 150.16 and 77.04 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.76 : 150.16 = 77.04 : x
  2. Step 2: Convert to fraction form
    99.76/150.16 = 77.04/x
  3. Step 3: Cross multiply
    99.76x = 150.16 × 77.04
  4. Step 4: Simplify right side
    99.76x = 11,568.33
  5. Step 5: Solve for x
    x = 11,568.33/99.76
  6. Step 6: Final answer
    x = 115.96

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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.