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Finding the Fourth Proportional to 408.26, 562.92 and 280.20

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Solution

The fourth proportional to 408.26, 562.92 and 280.20 is: 386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.26 : 562.92 = 280.20 : x
  2. Step 2: Convert to fraction form
    408.26/562.92 = 280.20/x
  3. Step 3: Cross multiply
    408.26x = 562.92 × 280.20
  4. Step 4: Simplify right side
    408.26x = 157,730.18
  5. Step 5: Solve for x
    x = 157,730.18/408.26
  6. Step 6: Final answer
    x = 386.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.