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Finding the Fourth Proportional to 299.63, 449.46 and 83.21

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Solution

The fourth proportional to 299.63, 449.46 and 83.21 is: 124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.63 : 449.46 = 83.21 : x
  2. Step 2: Convert to fraction form
    299.63/449.46 = 83.21/x
  3. Step 3: Cross multiply
    299.63x = 449.46 × 83.21
  4. Step 4: Simplify right side
    299.63x = 37,397.63
  5. Step 5: Solve for x
    x = 37,397.63/299.63
  6. Step 6: Final answer
    x = 124.81

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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.