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Finding the Fourth Proportional to 114.73, 158.20 and 99.23

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Solution

The fourth proportional to 114.73, 158.20 and 99.23 is: 136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.73 : 158.20 = 99.23 : x
  2. Step 2: Convert to fraction form
    114.73/158.20 = 99.23/x
  3. Step 3: Cross multiply
    114.73x = 158.20 × 99.23
  4. Step 4: Simplify right side
    114.73x = 15,698.19
  5. Step 5: Solve for x
    x = 15,698.19/114.73
  6. Step 6: Final answer
    x = 136.83

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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.