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Finding the Fourth Proportional to 114.92, 158.22 and 99.35

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Solution

The fourth proportional to 114.92, 158.22 and 99.35 is: 136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.92 : 158.22 = 99.35 : x
  2. Step 2: Convert to fraction form
    114.92/158.22 = 99.35/x
  3. Step 3: Cross multiply
    114.92x = 158.22 × 99.35
  4. Step 4: Simplify right side
    114.92x = 15,719.16
  5. Step 5: Solve for x
    x = 15,719.16/114.92
  6. Step 6: Final answer
    x = 136.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.