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Finding the Fourth Proportional to 494.66, 742.07 and 169.95

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Solution

The fourth proportional to 494.66, 742.07 and 169.95 is: 254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.66 : 742.07 = 169.95 : x
  2. Step 2: Convert to fraction form
    494.66/742.07 = 169.95/x
  3. Step 3: Cross multiply
    494.66x = 742.07 × 169.95
  4. Step 4: Simplify right side
    494.66x = 126,115.22
  5. Step 5: Solve for x
    x = 126,115.22/494.66
  6. Step 6: Final answer
    x = 254.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.