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Finding the Fourth Proportional to 236.10, 353.96 and 107.76

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Solution

The fourth proportional to 236.10, 353.96 and 107.76 is: 161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.10 : 353.96 = 107.76 : x
  2. Step 2: Convert to fraction form
    236.10/353.96 = 107.76/x
  3. Step 3: Cross multiply
    236.10x = 353.96 × 107.76
  4. Step 4: Simplify right side
    236.10x = 38,142.73
  5. Step 5: Solve for x
    x = 38,142.73/236.10
  6. Step 6: Final answer
    x = 161.55

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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.