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Finding the Fourth Proportional to 256.49, 353.95 and 140.05

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Solution

The fourth proportional to 256.49, 353.95 and 140.05 is: 193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.49 : 353.95 = 140.05 : x
  2. Step 2: Convert to fraction form
    256.49/353.95 = 140.05/x
  3. Step 3: Cross multiply
    256.49x = 353.95 × 140.05
  4. Step 4: Simplify right side
    256.49x = 49,570.70
  5. Step 5: Solve for x
    x = 49,570.70/256.49
  6. Step 6: Final answer
    x = 193.27

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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.