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Finding the Fourth Proportional to 300.16, 449.96 and 107.74

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Solution

The fourth proportional to 300.16, 449.96 and 107.74 is: 161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 449.96 = 107.74 : x
  2. Step 2: Convert to fraction form
    300.16/449.96 = 107.74/x
  3. Step 3: Cross multiply
    300.16x = 449.96 × 107.74
  4. Step 4: Simplify right side
    300.16x = 48,475.90
  5. Step 5: Solve for x
    x = 48,475.90/300.16
  6. Step 6: Final answer
    x = 161.50

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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.