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Finding the Fourth Proportional to 300.08, 449.42 and 191.54

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Solution

The fourth proportional to 300.08, 449.42 and 191.54 is: 286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.08 : 449.42 = 191.54 : x
  2. Step 2: Convert to fraction form
    300.08/449.42 = 191.54/x
  3. Step 3: Cross multiply
    300.08x = 449.42 × 191.54
  4. Step 4: Simplify right side
    300.08x = 86,082.07
  5. Step 5: Solve for x
    x = 86,082.07/300.08
  6. Step 6: Final answer
    x = 286.86

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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.