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Finding the Fourth Proportional to 256.22, 353.68 and 178.46

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Solution

The fourth proportional to 256.22, 353.68 and 178.46 is: 246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.22 : 353.68 = 178.46 : x
  2. Step 2: Convert to fraction form
    256.22/353.68 = 178.46/x
  3. Step 3: Cross multiply
    256.22x = 353.68 × 178.46
  4. Step 4: Simplify right side
    256.22x = 63,117.73
  5. Step 5: Solve for x
    x = 63,117.73/256.22
  6. Step 6: Final answer
    x = 246.34

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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.