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Finding the Fourth Proportional to 299.96, 449.50 and 137.36

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Solution

The fourth proportional to 299.96, 449.50 and 137.36 is: 205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 449.50 = 137.36 : x
  2. Step 2: Convert to fraction form
    299.96/449.50 = 137.36/x
  3. Step 3: Cross multiply
    299.96x = 449.50 × 137.36
  4. Step 4: Simplify right side
    299.96x = 61,743.32
  5. Step 5: Solve for x
    x = 61,743.32/299.96
  6. Step 6: Final answer
    x = 205.84

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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.