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Finding the Fourth Proportional to 381.75, 568.38 and 380.03

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Solution

The fourth proportional to 381.75, 568.38 and 380.03 is: 565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 568.38 = 380.03 : x
  2. Step 2: Convert to fraction form
    381.75/568.38 = 380.03/x
  3. Step 3: Cross multiply
    381.75x = 568.38 × 380.03
  4. Step 4: Simplify right side
    381.75x = 216,000.03
  5. Step 5: Solve for x
    x = 216,000.03/381.75
  6. Step 6: Final answer
    x = 565.82

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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.