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Finding the Fourth Proportional to 204.96, 282.89 and 198.46

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Solution

The fourth proportional to 204.96, 282.89 and 198.46 is: 273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 282.89 = 198.46 : x
  2. Step 2: Convert to fraction form
    204.96/282.89 = 198.46/x
  3. Step 3: Cross multiply
    204.96x = 282.89 × 198.46
  4. Step 4: Simplify right side
    204.96x = 56,143.20
  5. Step 5: Solve for x
    x = 56,143.20/204.96
  6. Step 6: Final answer
    x = 273.92

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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.