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Finding the Fourth Proportional to 256.44, 353.90 and 140

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Solution

The fourth proportional to 256.44, 353.90 and 140 is: 193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.44 : 353.90 = 140 : x
  2. Step 2: Convert to fraction form
    256.44/353.90 = 140/x
  3. Step 3: Cross multiply
    256.44x = 353.90 × 140
  4. Step 4: Simplify right side
    256.44x = 49,545.30
  5. Step 5: Solve for x
    x = 49,545.30/256.44
  6. Step 6: Final answer
    x = 193.20

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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.