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Finding the Fourth Proportional to 256.31, 353.95 and 169.03

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Solution

The fourth proportional to 256.31, 353.95 and 169.03 is: 233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.31 : 353.95 = 169.03 : x
  2. Step 2: Convert to fraction form
    256.31/353.95 = 169.03/x
  3. Step 3: Cross multiply
    256.31x = 353.95 × 169.03
  4. Step 4: Simplify right side
    256.31x = 59,828.17
  5. Step 5: Solve for x
    x = 59,828.17/256.31
  6. Step 6: Final answer
    x = 233.42

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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.