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Finding the Fourth Proportional to 408.48, 616.20 and 365.92

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Solution

The fourth proportional to 408.48, 616.20 and 365.92 is: 552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.48 : 616.20 = 365.92 : x
  2. Step 2: Convert to fraction form
    408.48/616.20 = 365.92/x
  3. Step 3: Cross multiply
    408.48x = 616.20 × 365.92
  4. Step 4: Simplify right side
    408.48x = 225,479.90
  5. Step 5: Solve for x
    x = 225,479.90/408.48
  6. Step 6: Final answer
    x = 552.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.