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Finding the Fourth Proportional to 118.06, 176.99 and 40.97

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Solution

The fourth proportional to 118.06, 176.99 and 40.97 is: 61.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.06 : 176.99 = 40.97 : x
  2. Step 2: Convert to fraction form
    118.06/176.99 = 40.97/x
  3. Step 3: Cross multiply
    118.06x = 176.99 × 40.97
  4. Step 4: Simplify right side
    118.06x = 7,251.52
  5. Step 5: Solve for x
    x = 7,251.52/118.06
  6. Step 6: Final answer
    x = 61.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.