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Finding the Fourth Proportional to 256.38, 353.80 and 169.21

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Solution

The fourth proportional to 256.38, 353.80 and 169.21 is: 233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.38 : 353.80 = 169.21 : x
  2. Step 2: Convert to fraction form
    256.38/353.80 = 169.21/x
  3. Step 3: Cross multiply
    256.38x = 353.80 × 169.21
  4. Step 4: Simplify right side
    256.38x = 59,866.50
  5. Step 5: Solve for x
    x = 59,866.50/256.38
  6. Step 6: Final answer
    x = 233.51

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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.