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Finding the Fourth Proportional to 256.13, 353.46 and 139.70

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Solution

The fourth proportional to 256.13, 353.46 and 139.70 is: 192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.13 : 353.46 = 139.70 : x
  2. Step 2: Convert to fraction form
    256.13/353.46 = 139.70/x
  3. Step 3: Cross multiply
    256.13x = 353.46 × 139.70
  4. Step 4: Simplify right side
    256.13x = 49,376.59
  5. Step 5: Solve for x
    x = 49,376.59/256.13
  6. Step 6: Final answer
    x = 192.78

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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.