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Finding the Fourth Proportional to 198.72, 296.39 and 195.08

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Solution

The fourth proportional to 198.72, 296.39 and 195.08 is: 290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 296.39 = 195.08 : x
  2. Step 2: Convert to fraction form
    198.72/296.39 = 195.08/x
  3. Step 3: Cross multiply
    198.72x = 296.39 × 195.08
  4. Step 4: Simplify right side
    198.72x = 57,818.77
  5. Step 5: Solve for x
    x = 57,818.77/198.72
  6. Step 6: Final answer
    x = 290.96

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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.