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Finding the Fourth Proportional to 168.08, 252.16 and 107.36

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Solution

The fourth proportional to 168.08, 252.16 and 107.36 is: 161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.08 : 252.16 = 107.36 : x
  2. Step 2: Convert to fraction form
    168.08/252.16 = 107.36/x
  3. Step 3: Cross multiply
    168.08x = 252.16 × 107.36
  4. Step 4: Simplify right side
    168.08x = 27,071.90
  5. Step 5: Solve for x
    x = 27,071.90/168.08
  6. Step 6: Final answer
    x = 161.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.