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Finding the Fourth Proportional to 114.89, 158.42 and 99.29

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Solution

The fourth proportional to 114.89, 158.42 and 99.29 is: 136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.89 : 158.42 = 99.29 : x
  2. Step 2: Convert to fraction form
    114.89/158.42 = 99.29/x
  3. Step 3: Cross multiply
    114.89x = 158.42 × 99.29
  4. Step 4: Simplify right side
    114.89x = 15,730.17
  5. Step 5: Solve for x
    x = 15,730.17/114.89
  6. Step 6: Final answer
    x = 136.92

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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.