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Finding the Fourth Proportional to 199.72, 298.11 and 185.46

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Solution

The fourth proportional to 199.72, 298.11 and 185.46 is: 276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.72 : 298.11 = 185.46 : x
  2. Step 2: Convert to fraction form
    199.72/298.11 = 185.46/x
  3. Step 3: Cross multiply
    199.72x = 298.11 × 185.46
  4. Step 4: Simplify right side
    199.72x = 55,286.36
  5. Step 5: Solve for x
    x = 55,286.36/199.72
  6. Step 6: Final answer
    x = 276.82

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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.