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Finding the Fourth Proportional to 408.73, 613.10 and 165.26

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Solution

The fourth proportional to 408.73, 613.10 and 165.26 is: 247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.73 : 613.10 = 165.26 : x
  2. Step 2: Convert to fraction form
    408.73/613.10 = 165.26/x
  3. Step 3: Cross multiply
    408.73x = 613.10 × 165.26
  4. Step 4: Simplify right side
    408.73x = 101,317.01
  5. Step 5: Solve for x
    x = 101,317.01/408.73
  6. Step 6: Final answer
    x = 247.88

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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.