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Finding the Fourth Proportional to 408.29, 562.98 and 268.22

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Solution

The fourth proportional to 408.29, 562.98 and 268.22 is: 369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.29 : 562.98 = 268.22 : x
  2. Step 2: Convert to fraction form
    408.29/562.98 = 268.22/x
  3. Step 3: Cross multiply
    408.29x = 562.98 × 268.22
  4. Step 4: Simplify right side
    408.29x = 151,004.91
  5. Step 5: Solve for x
    x = 151,004.91/408.29
  6. Step 6: Final answer
    x = 369.85

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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.