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Finding the Fourth Proportional to 422.47, 582.17 and 356.09

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Solution

The fourth proportional to 422.47, 582.17 and 356.09 is: 490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.47 : 582.17 = 356.09 : x
  2. Step 2: Convert to fraction form
    422.47/582.17 = 356.09/x
  3. Step 3: Cross multiply
    422.47x = 582.17 × 356.09
  4. Step 4: Simplify right side
    422.47x = 207,304.92
  5. Step 5: Solve for x
    x = 207,304.92/422.47
  6. Step 6: Final answer
    x = 490.70

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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.