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Finding the Fourth Proportional to 299.50, 449.22 and 137.23

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Solution

The fourth proportional to 299.50, 449.22 and 137.23 is: 205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.50 : 449.22 = 137.23 : x
  2. Step 2: Convert to fraction form
    299.50/449.22 = 137.23/x
  3. Step 3: Cross multiply
    299.50x = 449.22 × 137.23
  4. Step 4: Simplify right side
    299.50x = 61,646.46
  5. Step 5: Solve for x
    x = 61,646.46/299.50
  6. Step 6: Final answer
    x = 205.83

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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.