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Finding the Fourth Proportional to 382.87, 576.57 and 344.80

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Solution

The fourth proportional to 382.87, 576.57 and 344.80 is: 519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.87 : 576.57 = 344.80 : x
  2. Step 2: Convert to fraction form
    382.87/576.57 = 344.80/x
  3. Step 3: Cross multiply
    382.87x = 576.57 × 344.80
  4. Step 4: Simplify right side
    382.87x = 198,801.34
  5. Step 5: Solve for x
    x = 198,801.34/382.87
  6. Step 6: Final answer
    x = 519.24

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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.