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Finding the Fourth Proportional to 178.96, 247.10 and 137.45

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Solution

The fourth proportional to 178.96, 247.10 and 137.45 is: 189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.96 : 247.10 = 137.45 : x
  2. Step 2: Convert to fraction form
    178.96/247.10 = 137.45/x
  3. Step 3: Cross multiply
    178.96x = 247.10 × 137.45
  4. Step 4: Simplify right side
    178.96x = 33,961.97
  5. Step 5: Solve for x
    x = 33,961.97/178.96
  6. Step 6: Final answer
    x = 189.78

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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.