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Finding the Fourth Proportional to 178.97, 266.54 and 169.65

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Solution

The fourth proportional to 178.97, 266.54 and 169.65 is: 252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.97 : 266.54 = 169.65 : x
  2. Step 2: Convert to fraction form
    178.97/266.54 = 169.65/x
  3. Step 3: Cross multiply
    178.97x = 266.54 × 169.65
  4. Step 4: Simplify right side
    178.97x = 45,217.66
  5. Step 5: Solve for x
    x = 45,217.66/178.97
  6. Step 6: Final answer
    x = 252.66

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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.