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Finding the Fourth Proportional to 199.49, 299.19 and 83.92

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Solution

The fourth proportional to 199.49, 299.19 and 83.92 is: 125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.49 : 299.19 = 83.92 : x
  2. Step 2: Convert to fraction form
    199.49/299.19 = 83.92/x
  3. Step 3: Cross multiply
    199.49x = 299.19 × 83.92
  4. Step 4: Simplify right side
    199.49x = 25,107.02
  5. Step 5: Solve for x
    x = 25,107.02/199.49
  6. Step 6: Final answer
    x = 125.85

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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.