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Finding the Fourth Proportional to 167.11, 249.32 and 154.71

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Solution

The fourth proportional to 167.11, 249.32 and 154.71 is: 230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.11 : 249.32 = 154.71 : x
  2. Step 2: Convert to fraction form
    167.11/249.32 = 154.71/x
  3. Step 3: Cross multiply
    167.11x = 249.32 × 154.71
  4. Step 4: Simplify right side
    167.11x = 38,572.25
  5. Step 5: Solve for x
    x = 38,572.25/167.11
  6. Step 6: Final answer
    x = 230.82

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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.