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Finding the Fourth Proportional to 118.38, 176.37 and 117.90

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Solution

The fourth proportional to 118.38, 176.37 and 117.90 is: 175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.38 : 176.37 = 117.90 : x
  2. Step 2: Convert to fraction form
    118.38/176.37 = 117.90/x
  3. Step 3: Cross multiply
    118.38x = 176.37 × 117.90
  4. Step 4: Simplify right side
    118.38x = 20,794.02
  5. Step 5: Solve for x
    x = 20,794.02/118.38
  6. Step 6: Final answer
    x = 175.65

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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.