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Finding the Fourth Proportional to 381.29, 568.66 and 344.39

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Solution

The fourth proportional to 381.29, 568.66 and 344.39 is: 513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.29 : 568.66 = 344.39 : x
  2. Step 2: Convert to fraction form
    381.29/568.66 = 344.39/x
  3. Step 3: Cross multiply
    381.29x = 568.66 × 344.39
  4. Step 4: Simplify right side
    381.29x = 195,837.11
  5. Step 5: Solve for x
    x = 195,837.11/381.29
  6. Step 6: Final answer
    x = 513.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.