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Finding the Fourth Proportional to 167.32, 249.17 and 156.94

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Solution

The fourth proportional to 167.32, 249.17 and 156.94 is: 233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.32 : 249.17 = 156.94 : x
  2. Step 2: Convert to fraction form
    167.32/249.17 = 156.94/x
  3. Step 3: Cross multiply
    167.32x = 249.17 × 156.94
  4. Step 4: Simplify right side
    167.32x = 39,104.74
  5. Step 5: Solve for x
    x = 39,104.74/167.32
  6. Step 6: Final answer
    x = 233.71

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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.