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Finding the Fourth Proportional to 236.09, 353.96 and 107.75

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Solution

The fourth proportional to 236.09, 353.96 and 107.75 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.09 : 353.96 = 107.75 : x
  2. Step 2: Convert to fraction form
    236.09/353.96 = 107.75/x
  3. Step 3: Cross multiply
    236.09x = 353.96 × 107.75
  4. Step 4: Simplify right side
    236.09x = 38,138.65
  5. Step 5: Solve for x
    x = 38,138.65/236.09
  6. Step 6: Final answer
    x = 161.54

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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.