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Finding the Fourth Proportional to 199.44, 300.96 and 191.97

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Solution

The fourth proportional to 199.44, 300.96 and 191.97 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.44 : 300.96 = 191.97 : x
  2. Step 2: Convert to fraction form
    199.44/300.96 = 191.97/x
  3. Step 3: Cross multiply
    199.44x = 300.96 × 191.97
  4. Step 4: Simplify right side
    199.44x = 57,775.29
  5. Step 5: Solve for x
    x = 57,775.29/199.44
  6. Step 6: Final answer
    x = 289.69

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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.