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Finding the Fourth Proportional to 381.56, 568.08 and 379.73

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Solution

The fourth proportional to 381.56, 568.08 and 379.73 is: 565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.56 : 568.08 = 379.73 : x
  2. Step 2: Convert to fraction form
    381.56/568.08 = 379.73/x
  3. Step 3: Cross multiply
    381.56x = 568.08 × 379.73
  4. Step 4: Simplify right side
    381.56x = 215,714.18
  5. Step 5: Solve for x
    x = 215,714.18/381.56
  6. Step 6: Final answer
    x = 565.36

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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.