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Finding the Fourth Proportional to 256.08, 353.08 and 203.52

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Solution

The fourth proportional to 256.08, 353.08 and 203.52 is: 280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.08 : 353.08 = 203.52 : x
  2. Step 2: Convert to fraction form
    256.08/353.08 = 203.52/x
  3. Step 3: Cross multiply
    256.08x = 353.08 × 203.52
  4. Step 4: Simplify right side
    256.08x = 71,858.84
  5. Step 5: Solve for x
    x = 71,858.84/256.08
  6. Step 6: Final answer
    x = 280.61

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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.