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Finding the Fourth Proportional to 199.89, 300.74 and 181.97

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Solution

The fourth proportional to 199.89, 300.74 and 181.97 is: 273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.89 : 300.74 = 181.97 : x
  2. Step 2: Convert to fraction form
    199.89/300.74 = 181.97/x
  3. Step 3: Cross multiply
    199.89x = 300.74 × 181.97
  4. Step 4: Simplify right side
    199.89x = 54,723.24
  5. Step 5: Solve for x
    x = 54,723.24/199.89
  6. Step 6: Final answer
    x = 273.77

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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.