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Finding the Fourth Proportional to 299.92, 449.80 and 137.68

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Solution

The fourth proportional to 299.92, 449.80 and 137.68 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.92 : 449.80 = 137.68 : x
  2. Step 2: Convert to fraction form
    299.92/449.80 = 137.68/x
  3. Step 3: Cross multiply
    299.92x = 449.80 × 137.68
  4. Step 4: Simplify right side
    299.92x = 61,928.46
  5. Step 5: Solve for x
    x = 61,928.46/299.92
  6. Step 6: Final answer
    x = 206.48

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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.