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Finding the Fourth Proportional to 339.28, 470.60 and 327.62

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Solution

The fourth proportional to 339.28, 470.60 and 327.62 is: 454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.28 : 470.60 = 327.62 : x
  2. Step 2: Convert to fraction form
    339.28/470.60 = 327.62/x
  3. Step 3: Cross multiply
    339.28x = 470.60 × 327.62
  4. Step 4: Simplify right side
    339.28x = 154,177.97
  5. Step 5: Solve for x
    x = 154,177.97/339.28
  6. Step 6: Final answer
    x = 454.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.