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Finding the Fourth Proportional to 256.76, 354.49 and 197.63

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Solution

The fourth proportional to 256.76, 354.49 and 197.63 is: 272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.76 : 354.49 = 197.63 : x
  2. Step 2: Convert to fraction form
    256.76/354.49 = 197.63/x
  3. Step 3: Cross multiply
    256.76x = 354.49 × 197.63
  4. Step 4: Simplify right side
    256.76x = 70,057.86
  5. Step 5: Solve for x
    x = 70,057.86/256.76
  6. Step 6: Final answer
    x = 272.85

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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.