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Finding the Fourth Proportional to 299.56, 449.35 and 107.19

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Solution

The fourth proportional to 299.56, 449.35 and 107.19 is: 160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.56 : 449.35 = 107.19 : x
  2. Step 2: Convert to fraction form
    299.56/449.35 = 107.19/x
  3. Step 3: Cross multiply
    299.56x = 449.35 × 107.19
  4. Step 4: Simplify right side
    299.56x = 48,165.83
  5. Step 5: Solve for x
    x = 48,165.83/299.56
  6. Step 6: Final answer
    x = 160.79

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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.