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Finding the Fourth Proportional to 253.78, 380.87 and 237.85

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Solution

The fourth proportional to 253.78, 380.87 and 237.85 is: 356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.78 : 380.87 = 237.85 : x
  2. Step 2: Convert to fraction form
    253.78/380.87 = 237.85/x
  3. Step 3: Cross multiply
    253.78x = 380.87 × 237.85
  4. Step 4: Simplify right side
    253.78x = 90,589.93
  5. Step 5: Solve for x
    x = 90,589.93/253.78
  6. Step 6: Final answer
    x = 356.96

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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.