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Finding the Fourth Proportional to 422.28, 582.72 and 291.36

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Solution

The fourth proportional to 422.28, 582.72 and 291.36 is: 402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.28 : 582.72 = 291.36 : x
  2. Step 2: Convert to fraction form
    422.28/582.72 = 291.36/x
  3. Step 3: Cross multiply
    422.28x = 582.72 × 291.36
  4. Step 4: Simplify right side
    422.28x = 169,781.30
  5. Step 5: Solve for x
    x = 169,781.30/422.28
  6. Step 6: Final answer
    x = 402.06

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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.