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Finding the Fourth Proportional to 257.38, 385.97 and 250.90

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Solution

The fourth proportional to 257.38, 385.97 and 250.90 is: 376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.38 : 385.97 = 250.90 : x
  2. Step 2: Convert to fraction form
    257.38/385.97 = 250.90/x
  3. Step 3: Cross multiply
    257.38x = 385.97 × 250.90
  4. Step 4: Simplify right side
    257.38x = 96,837.65
  5. Step 5: Solve for x
    x = 96,837.65/257.38
  6. Step 6: Final answer
    x = 376.25

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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.