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Finding the Fourth Proportional to 382.69, 576.11 and 343

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Solution

The fourth proportional to 382.69, 576.11 and 343 is: 516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.69 : 576.11 = 343 : x
  2. Step 2: Convert to fraction form
    382.69/576.11 = 343/x
  3. Step 3: Cross multiply
    382.69x = 576.11 × 343
  4. Step 4: Simplify right side
    382.69x = 197,605.73
  5. Step 5: Solve for x
    x = 197,605.73/382.69
  6. Step 6: Final answer
    x = 516.36

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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.