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Finding the Fourth Proportional to 382.96, 527.28 and 339.20

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Solution

The fourth proportional to 382.96, 527.28 and 339.20 is: 467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.96 : 527.28 = 339.20 : x
  2. Step 2: Convert to fraction form
    382.96/527.28 = 339.20/x
  3. Step 3: Cross multiply
    382.96x = 527.28 × 339.20
  4. Step 4: Simplify right side
    382.96x = 178,853.38
  5. Step 5: Solve for x
    x = 178,853.38/382.96
  6. Step 6: Final answer
    x = 467.03

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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.