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Finding the Fourth Proportional to 256.49, 353.92 and 161.92

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Solution

The fourth proportional to 256.49, 353.92 and 161.92 is: 223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.49 : 353.92 = 161.92 : x
  2. Step 2: Convert to fraction form
    256.49/353.92 = 161.92/x
  3. Step 3: Cross multiply
    256.49x = 353.92 × 161.92
  4. Step 4: Simplify right side
    256.49x = 57,305.08
  5. Step 5: Solve for x
    x = 57,305.08/256.49
  6. Step 6: Final answer
    x = 223.42

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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.