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Finding the Fourth Proportional to 256.14, 353.16 and 203.56

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Solution

The fourth proportional to 256.14, 353.16 and 203.56 is: 280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.14 : 353.16 = 203.56 : x
  2. Step 2: Convert to fraction form
    256.14/353.16 = 203.56/x
  3. Step 3: Cross multiply
    256.14x = 353.16 × 203.56
  4. Step 4: Simplify right side
    256.14x = 71,889.25
  5. Step 5: Solve for x
    x = 71,889.25/256.14
  6. Step 6: Final answer
    x = 280.66

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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.