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Finding the Fourth Proportional to 422.27, 580.80 and 339.20

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Solution

The fourth proportional to 422.27, 580.80 and 339.20 is: 466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.27 : 580.80 = 339.20 : x
  2. Step 2: Convert to fraction form
    422.27/580.80 = 339.20/x
  3. Step 3: Cross multiply
    422.27x = 580.80 × 339.20
  4. Step 4: Simplify right side
    422.27x = 197,004.46
  5. Step 5: Solve for x
    x = 197,004.46/422.27
  6. Step 6: Final answer
    x = 466.54

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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.