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Finding the Fourth Proportional to 198.84, 272.31 and 198.66

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Solution

The fourth proportional to 198.84, 272.31 and 198.66 is: 272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 272.31 = 198.66 : x
  2. Step 2: Convert to fraction form
    198.84/272.31 = 198.66/x
  3. Step 3: Cross multiply
    198.84x = 272.31 × 198.66
  4. Step 4: Simplify right side
    198.84x = 54,097.10
  5. Step 5: Solve for x
    x = 54,097.10/198.84
  6. Step 6: Final answer
    x = 272.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.