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Finding the Fourth Proportional to 408.17, 562.82 and 341.89

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Solution

The fourth proportional to 408.17, 562.82 and 341.89 is: 471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.17 : 562.82 = 341.89 : x
  2. Step 2: Convert to fraction form
    408.17/562.82 = 341.89/x
  3. Step 3: Cross multiply
    408.17x = 562.82 × 341.89
  4. Step 4: Simplify right side
    408.17x = 192,419.41
  5. Step 5: Solve for x
    x = 192,419.41/408.17
  6. Step 6: Final answer
    x = 471.42

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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.