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Finding the Fourth Proportional to 422.26, 582.18 and 311.54

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Solution

The fourth proportional to 422.26, 582.18 and 311.54 is: 429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.26 : 582.18 = 311.54 : x
  2. Step 2: Convert to fraction form
    422.26/582.18 = 311.54/x
  3. Step 3: Cross multiply
    422.26x = 582.18 × 311.54
  4. Step 4: Simplify right side
    422.26x = 181,372.36
  5. Step 5: Solve for x
    x = 181,372.36/422.26
  6. Step 6: Final answer
    x = 429.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.