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Finding the Fourth Proportional to 256.08, 353.12 and 197.76

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Solution

The fourth proportional to 256.08, 353.12 and 197.76 is: 272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.08 : 353.12 = 197.76 : x
  2. Step 2: Convert to fraction form
    256.08/353.12 = 197.76/x
  3. Step 3: Cross multiply
    256.08x = 353.12 × 197.76
  4. Step 4: Simplify right side
    256.08x = 69,833.01
  5. Step 5: Solve for x
    x = 69,833.01/256.08
  6. Step 6: Final answer
    x = 272.70

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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.