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Finding the Fourth Proportional to 118.38, 176.95 and 102.83

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Solution

The fourth proportional to 118.38, 176.95 and 102.83 is: 153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.38 : 176.95 = 102.83 : x
  2. Step 2: Convert to fraction form
    118.38/176.95 = 102.83/x
  3. Step 3: Cross multiply
    118.38x = 176.95 × 102.83
  4. Step 4: Simplify right side
    118.38x = 18,195.43
  5. Step 5: Solve for x
    x = 18,195.43/118.38
  6. Step 6: Final answer
    x = 153.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.