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Finding the Fourth Proportional to 256.82, 387.26 and 251.96

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Solution

The fourth proportional to 256.82, 387.26 and 251.96 is: 379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.82 : 387.26 = 251.96 : x
  2. Step 2: Convert to fraction form
    256.82/387.26 = 251.96/x
  3. Step 3: Cross multiply
    256.82x = 387.26 × 251.96
  4. Step 4: Simplify right side
    256.82x = 97,571.78
  5. Step 5: Solve for x
    x = 97,571.78/256.82
  6. Step 6: Final answer
    x = 379.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.