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Finding the Fourth Proportional to 381.80, 571.56 and 251.55

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Solution

The fourth proportional to 381.80, 571.56 and 251.55 is: 376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.80 : 571.56 = 251.55 : x
  2. Step 2: Convert to fraction form
    381.80/571.56 = 251.55/x
  3. Step 3: Cross multiply
    381.80x = 571.56 × 251.55
  4. Step 4: Simplify right side
    381.80x = 143,775.92
  5. Step 5: Solve for x
    x = 143,775.92/381.80
  6. Step 6: Final answer
    x = 376.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.