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Finding the Fourth Proportional to 408.24, 562.13 and 361.80

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Solution

The fourth proportional to 408.24, 562.13 and 361.80 is: 498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.24 : 562.13 = 361.80 : x
  2. Step 2: Convert to fraction form
    408.24/562.13 = 361.80/x
  3. Step 3: Cross multiply
    408.24x = 562.13 × 361.80
  4. Step 4: Simplify right side
    408.24x = 203,374.01
  5. Step 5: Solve for x
    x = 203,374.01/408.24
  6. Step 6: Final answer
    x = 498.18

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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.