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Finding the Fourth Proportional to 178.54, 247.53 and 169.31

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Solution

The fourth proportional to 178.54, 247.53 and 169.31 is: 234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.54 : 247.53 = 169.31 : x
  2. Step 2: Convert to fraction form
    178.54/247.53 = 169.31/x
  3. Step 3: Cross multiply
    178.54x = 247.53 × 169.31
  4. Step 4: Simplify right side
    178.54x = 41,909.30
  5. Step 5: Solve for x
    x = 41,909.30/178.54
  6. Step 6: Final answer
    x = 234.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.