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Finding the Fourth Proportional to 300.10, 449.19 and 161.08

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Solution

The fourth proportional to 300.10, 449.19 and 161.08 is: 241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.10 : 449.19 = 161.08 : x
  2. Step 2: Convert to fraction form
    300.10/449.19 = 161.08/x
  3. Step 3: Cross multiply
    300.10x = 449.19 × 161.08
  4. Step 4: Simplify right side
    300.10x = 72,355.21
  5. Step 5: Solve for x
    x = 72,355.21/300.10
  6. Step 6: Final answer
    x = 241.11

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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.