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Finding the Fourth Proportional to 198.13, 296.03 and 191.33

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Solution

The fourth proportional to 198.13, 296.03 and 191.33 is: 285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.13 : 296.03 = 191.33 : x
  2. Step 2: Convert to fraction form
    198.13/296.03 = 191.33/x
  3. Step 3: Cross multiply
    198.13x = 296.03 × 191.33
  4. Step 4: Simplify right side
    198.13x = 56,638.46
  5. Step 5: Solve for x
    x = 56,638.46/198.13
  6. Step 6: Final answer
    x = 285.87

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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.