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Finding the Fourth Proportional to 330.56, 456.17 and 197.84

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Solution

The fourth proportional to 330.56, 456.17 and 197.84 is: 273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.56 : 456.17 = 197.84 : x
  2. Step 2: Convert to fraction form
    330.56/456.17 = 197.84/x
  3. Step 3: Cross multiply
    330.56x = 456.17 × 197.84
  4. Step 4: Simplify right side
    330.56x = 90,248.67
  5. Step 5: Solve for x
    x = 90,248.67/330.56
  6. Step 6: Final answer
    x = 273.02

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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.