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Finding the Fourth Proportional to 422.07, 580.49 and 339.05

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Solution

The fourth proportional to 422.07, 580.49 and 339.05 is: 466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.07 : 580.49 = 339.05 : x
  2. Step 2: Convert to fraction form
    422.07/580.49 = 339.05/x
  3. Step 3: Cross multiply
    422.07x = 580.49 × 339.05
  4. Step 4: Simplify right side
    422.07x = 196,810.54
  5. Step 5: Solve for x
    x = 196,810.54/422.07
  6. Step 6: Final answer
    x = 466.30

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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.