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Finding the Fourth Proportional to 382.66, 576.31 and 337.48

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Solution

The fourth proportional to 382.66, 576.31 and 337.48 is: 508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.66 : 576.31 = 337.48 : x
  2. Step 2: Convert to fraction form
    382.66/576.31 = 337.48/x
  3. Step 3: Cross multiply
    382.66x = 576.31 × 337.48
  4. Step 4: Simplify right side
    382.66x = 194,493.10
  5. Step 5: Solve for x
    x = 194,493.10/382.66
  6. Step 6: Final answer
    x = 508.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.