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Finding the Fourth Proportional to 408.60, 613.14 and 165.09

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Solution

The fourth proportional to 408.60, 613.14 and 165.09 is: 247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.60 : 613.14 = 165.09 : x
  2. Step 2: Convert to fraction form
    408.60/613.14 = 165.09/x
  3. Step 3: Cross multiply
    408.60x = 613.14 × 165.09
  4. Step 4: Simplify right side
    408.60x = 101,223.28
  5. Step 5: Solve for x
    x = 101,223.28/408.60
  6. Step 6: Final answer
    x = 247.73

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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.