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Finding the Fourth Proportional to 256.78, 353.99 and 212.33

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Solution

The fourth proportional to 256.78, 353.99 and 212.33 is: 292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.78 : 353.99 = 212.33 : x
  2. Step 2: Convert to fraction form
    256.78/353.99 = 212.33/x
  3. Step 3: Cross multiply
    256.78x = 353.99 × 212.33
  4. Step 4: Simplify right side
    256.78x = 75,160.93
  5. Step 5: Solve for x
    x = 75,160.93/256.78
  6. Step 6: Final answer
    x = 292.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.