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Finding the Fourth Proportional to 382.78, 527.67 and 339.10

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Solution

The fourth proportional to 382.78, 527.67 and 339.10 is: 467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.78 : 527.67 = 339.10 : x
  2. Step 2: Convert to fraction form
    382.78/527.67 = 339.10/x
  3. Step 3: Cross multiply
    382.78x = 527.67 × 339.10
  4. Step 4: Simplify right side
    382.78x = 178,932.90
  5. Step 5: Solve for x
    x = 178,932.90/382.78
  6. Step 6: Final answer
    x = 467.46

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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.