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Finding the Fourth Proportional to 255.57, 380.39 and 249.90

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Solution

The fourth proportional to 255.57, 380.39 and 249.90 is: 371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.57 : 380.39 = 249.90 : x
  2. Step 2: Convert to fraction form
    255.57/380.39 = 249.90/x
  3. Step 3: Cross multiply
    255.57x = 380.39 × 249.90
  4. Step 4: Simplify right side
    255.57x = 95,058.21
  5. Step 5: Solve for x
    x = 95,058.21/255.57
  6. Step 6: Final answer
    x = 371.95

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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.