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Finding the Fourth Proportional to 256.97, 354.61 and 140.53

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Solution

The fourth proportional to 256.97, 354.61 and 140.53 is: 193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.97 : 354.61 = 140.53 : x
  2. Step 2: Convert to fraction form
    256.97/354.61 = 140.53/x
  3. Step 3: Cross multiply
    256.97x = 354.61 × 140.53
  4. Step 4: Simplify right side
    256.97x = 49,833.34
  5. Step 5: Solve for x
    x = 49,833.34/256.97
  6. Step 6: Final answer
    x = 193.93

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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.