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Finding the Fourth Proportional to 256.74, 354.30 and 140.30

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Solution

The fourth proportional to 256.74, 354.30 and 140.30 is: 193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.74 : 354.30 = 140.30 : x
  2. Step 2: Convert to fraction form
    256.74/354.30 = 140.30/x
  3. Step 3: Cross multiply
    256.74x = 354.30 × 140.30
  4. Step 4: Simplify right side
    256.74x = 49,706.52
  5. Step 5: Solve for x
    x = 49,706.52/256.74
  6. Step 6: Final answer
    x = 193.61

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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.