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Finding the Fourth Proportional to 198.24, 298.74 and 186.08

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Solution

The fourth proportional to 198.24, 298.74 and 186.08 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.24 : 298.74 = 186.08 : x
  2. Step 2: Convert to fraction form
    198.24/298.74 = 186.08/x
  3. Step 3: Cross multiply
    198.24x = 298.74 × 186.08
  4. Step 4: Simplify right side
    198.24x = 55,589.54
  5. Step 5: Solve for x
    x = 55,589.54/198.24
  6. Step 6: Final answer
    x = 280.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.