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Finding the Fourth Proportional to 299.45, 449.16 and 83.03

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Solution

The fourth proportional to 299.45, 449.16 and 83.03 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.45 : 449.16 = 83.03 : x
  2. Step 2: Convert to fraction form
    299.45/449.16 = 83.03/x
  3. Step 3: Cross multiply
    299.45x = 449.16 × 83.03
  4. Step 4: Simplify right side
    299.45x = 37,293.75
  5. Step 5: Solve for x
    x = 37,293.75/299.45
  6. Step 6: Final answer
    x = 124.54

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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.