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Finding the Fourth Proportional to 198.63, 296.49 and 182.40

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Solution

The fourth proportional to 198.63, 296.49 and 182.40 is: 272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.63 : 296.49 = 182.40 : x
  2. Step 2: Convert to fraction form
    198.63/296.49 = 182.40/x
  3. Step 3: Cross multiply
    198.63x = 296.49 × 182.40
  4. Step 4: Simplify right side
    198.63x = 54,079.78
  5. Step 5: Solve for x
    x = 54,079.78/198.63
  6. Step 6: Final answer
    x = 272.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.