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Finding the Fourth Proportional to 382.88, 576.56 and 344.82

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Solution

The fourth proportional to 382.88, 576.56 and 344.82 is: 519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.88 : 576.56 = 344.82 : x
  2. Step 2: Convert to fraction form
    382.88/576.56 = 344.82/x
  3. Step 3: Cross multiply
    382.88x = 576.56 × 344.82
  4. Step 4: Simplify right side
    382.88x = 198,809.42
  5. Step 5: Solve for x
    x = 198,809.42/382.88
  6. Step 6: Final answer
    x = 519.25

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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.