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Finding the Fourth Proportional to 256.28, 351.73 and 249.08

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Solution

The fourth proportional to 256.28, 351.73 and 249.08 is: 341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.28 : 351.73 = 249.08 : x
  2. Step 2: Convert to fraction form
    256.28/351.73 = 249.08/x
  3. Step 3: Cross multiply
    256.28x = 351.73 × 249.08
  4. Step 4: Simplify right side
    256.28x = 87,608.91
  5. Step 5: Solve for x
    x = 87,608.91/256.28
  6. Step 6: Final answer
    x = 341.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.