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Finding the Fourth Proportional to 178.62, 246.15 and 126.78

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Solution

The fourth proportional to 178.62, 246.15 and 126.78 is: 174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.62 : 246.15 = 126.78 : x
  2. Step 2: Convert to fraction form
    178.62/246.15 = 126.78/x
  3. Step 3: Cross multiply
    178.62x = 246.15 × 126.78
  4. Step 4: Simplify right side
    178.62x = 31,206.90
  5. Step 5: Solve for x
    x = 31,206.90/178.62
  6. Step 6: Final answer
    x = 174.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.