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Finding the Fourth Proportional to 236.18, 353.90 and 107.66

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Solution

The fourth proportional to 236.18, 353.90 and 107.66 is: 161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.18 : 353.90 = 107.66 : x
  2. Step 2: Convert to fraction form
    236.18/353.90 = 107.66/x
  3. Step 3: Cross multiply
    236.18x = 353.90 × 107.66
  4. Step 4: Simplify right side
    236.18x = 38,100.87
  5. Step 5: Solve for x
    x = 38,100.87/236.18
  6. Step 6: Final answer
    x = 161.32

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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.