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Finding the Fourth Proportional to 256.26, 353.67 and 212.52

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Solution

The fourth proportional to 256.26, 353.67 and 212.52 is: 293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 353.67 = 212.52 : x
  2. Step 2: Convert to fraction form
    256.26/353.67 = 212.52/x
  3. Step 3: Cross multiply
    256.26x = 353.67 × 212.52
  4. Step 4: Simplify right side
    256.26x = 75,161.95
  5. Step 5: Solve for x
    x = 75,161.95/256.26
  6. Step 6: Final answer
    x = 293.30

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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.