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Finding the Fourth Proportional to 256.76, 354.22 and 179.18

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Solution

The fourth proportional to 256.76, 354.22 and 179.18 is: 247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.76 : 354.22 = 179.18 : x
  2. Step 2: Convert to fraction form
    256.76/354.22 = 179.18/x
  3. Step 3: Cross multiply
    256.76x = 354.22 × 179.18
  4. Step 4: Simplify right side
    256.76x = 63,469.14
  5. Step 5: Solve for x
    x = 63,469.14/256.76
  6. Step 6: Final answer
    x = 247.19

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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.