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Finding the Fourth Proportional to 167.06, 249.15 and 155.52

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Solution

The fourth proportional to 167.06, 249.15 and 155.52 is: 231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.06 : 249.15 = 155.52 : x
  2. Step 2: Convert to fraction form
    167.06/249.15 = 155.52/x
  3. Step 3: Cross multiply
    167.06x = 249.15 × 155.52
  4. Step 4: Simplify right side
    167.06x = 38,747.95
  5. Step 5: Solve for x
    x = 38,747.95/167.06
  6. Step 6: Final answer
    x = 231.94

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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.