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Finding the Fourth Proportional to 198.86, 298.32 and 77.13

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Solution

The fourth proportional to 198.86, 298.32 and 77.13 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.86 : 298.32 = 77.13 : x
  2. Step 2: Convert to fraction form
    198.86/298.32 = 77.13/x
  3. Step 3: Cross multiply
    198.86x = 298.32 × 77.13
  4. Step 4: Simplify right side
    198.86x = 23,009.42
  5. Step 5: Solve for x
    x = 23,009.42/198.86
  6. Step 6: Final answer
    x = 115.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.