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Finding the Fourth Proportional to 299.34, 449.09 and 137.14

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Solution

The fourth proportional to 299.34, 449.09 and 137.14 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.34 : 449.09 = 137.14 : x
  2. Step 2: Convert to fraction form
    299.34/449.09 = 137.14/x
  3. Step 3: Cross multiply
    299.34x = 449.09 × 137.14
  4. Step 4: Simplify right side
    299.34x = 61,588.20
  5. Step 5: Solve for x
    x = 61,588.20/299.34
  6. Step 6: Final answer
    x = 205.75

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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.