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Finding the Fourth Proportional to 422.11, 582.22 and 297.88

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Solution

The fourth proportional to 422.11, 582.22 and 297.88 is: 410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.11 : 582.22 = 297.88 : x
  2. Step 2: Convert to fraction form
    422.11/582.22 = 297.88/x
  3. Step 3: Cross multiply
    422.11x = 582.22 × 297.88
  4. Step 4: Simplify right side
    422.11x = 173,430.61
  5. Step 5: Solve for x
    x = 173,430.61/422.11
  6. Step 6: Final answer
    x = 410.86

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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.