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Finding the Fourth Proportional to 408.75, 613.25 and 120.20

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Solution

The fourth proportional to 408.75, 613.25 and 120.20 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.75 : 613.25 = 120.20 : x
  2. Step 2: Convert to fraction form
    408.75/613.25 = 120.20/x
  3. Step 3: Cross multiply
    408.75x = 613.25 × 120.20
  4. Step 4: Simplify right side
    408.75x = 73,708.98
  5. Step 5: Solve for x
    x = 73,708.98/408.75
  6. Step 6: Final answer
    x = 180.33

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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.