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Finding the Fourth Proportional to 118.35, 163.22 and 74.61

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Solution

The fourth proportional to 118.35, 163.22 and 74.61 is: 102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.35 : 163.22 = 74.61 : x
  2. Step 2: Convert to fraction form
    118.35/163.22 = 74.61/x
  3. Step 3: Cross multiply
    118.35x = 163.22 × 74.61
  4. Step 4: Simplify right side
    118.35x = 12,177.47
  5. Step 5: Solve for x
    x = 12,177.47/118.35
  6. Step 6: Final answer
    x = 102.89

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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.