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Finding the Fourth Proportional to 422.32, 582.40 and 311.44

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Solution

The fourth proportional to 422.32, 582.40 and 311.44 is: 429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.32 : 582.40 = 311.44 : x
  2. Step 2: Convert to fraction form
    422.32/582.40 = 311.44/x
  3. Step 3: Cross multiply
    422.32x = 582.40 × 311.44
  4. Step 4: Simplify right side
    422.32x = 181,382.66
  5. Step 5: Solve for x
    x = 181,382.66/422.32
  6. Step 6: Final answer
    x = 429.49

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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.