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Finding the Fourth Proportional to 204.31, 282.11 and 181.02

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Solution

The fourth proportional to 204.31, 282.11 and 181.02 is: 249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.31 : 282.11 = 181.02 : x
  2. Step 2: Convert to fraction form
    204.31/282.11 = 181.02/x
  3. Step 3: Cross multiply
    204.31x = 282.11 × 181.02
  4. Step 4: Simplify right side
    204.31x = 51,067.70
  5. Step 5: Solve for x
    x = 51,067.70/204.31
  6. Step 6: Final answer
    x = 249.95

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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.