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Finding the Fourth Proportional to 300.16, 449.94 and 137.74

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Solution

The fourth proportional to 300.16, 449.94 and 137.74 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 449.94 = 137.74 : x
  2. Step 2: Convert to fraction form
    300.16/449.94 = 137.74/x
  3. Step 3: Cross multiply
    300.16x = 449.94 × 137.74
  4. Step 4: Simplify right side
    300.16x = 61,974.74
  5. Step 5: Solve for x
    x = 61,974.74/300.16
  6. Step 6: Final answer
    x = 206.47

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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.