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Finding the Fourth Proportional to 118.62, 162.25 and 116.73

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Solution

The fourth proportional to 118.62, 162.25 and 116.73 is: 159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.62 : 162.25 = 116.73 : x
  2. Step 2: Convert to fraction form
    118.62/162.25 = 116.73/x
  3. Step 3: Cross multiply
    118.62x = 162.25 × 116.73
  4. Step 4: Simplify right side
    118.62x = 18,938.86
  5. Step 5: Solve for x
    x = 18,938.86/118.62
  6. Step 6: Final answer
    x = 159.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.