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Finding the Fourth Proportional to 256.62, 353.80 and 212.20

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Solution

The fourth proportional to 256.62, 353.80 and 212.20 is: 292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.62 : 353.80 = 212.20 : x
  2. Step 2: Convert to fraction form
    256.62/353.80 = 212.20/x
  3. Step 3: Cross multiply
    256.62x = 353.80 × 212.20
  4. Step 4: Simplify right side
    256.62x = 75,076.36
  5. Step 5: Solve for x
    x = 75,076.36/256.62
  6. Step 6: Final answer
    x = 292.56

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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.