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Finding the Fourth Proportional to 408.67, 613.20 and 165.19

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Solution

The fourth proportional to 408.67, 613.20 and 165.19 is: 247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.67 : 613.20 = 165.19 : x
  2. Step 2: Convert to fraction form
    408.67/613.20 = 165.19/x
  3. Step 3: Cross multiply
    408.67x = 613.20 × 165.19
  4. Step 4: Simplify right side
    408.67x = 101,294.51
  5. Step 5: Solve for x
    x = 101,294.51/408.67
  6. Step 6: Final answer
    x = 247.86

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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.