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Finding the Fourth Proportional to 198.23, 298.84 and 186.48

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Solution

The fourth proportional to 198.23, 298.84 and 186.48 is: 281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.23 : 298.84 = 186.48 : x
  2. Step 2: Convert to fraction form
    198.23/298.84 = 186.48/x
  3. Step 3: Cross multiply
    198.23x = 298.84 × 186.48
  4. Step 4: Simplify right side
    198.23x = 55,727.22
  5. Step 5: Solve for x
    x = 55,727.22/198.23
  6. Step 6: Final answer
    x = 281.13

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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.