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Finding the Fourth Proportional to 221.86, 332.66 and 119.12

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Solution

The fourth proportional to 221.86, 332.66 and 119.12 is: 178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.86 : 332.66 = 119.12 : x
  2. Step 2: Convert to fraction form
    221.86/332.66 = 119.12/x
  3. Step 3: Cross multiply
    221.86x = 332.66 × 119.12
  4. Step 4: Simplify right side
    221.86x = 39,626.29
  5. Step 5: Solve for x
    x = 39,626.29/221.86
  6. Step 6: Final answer
    x = 178.61

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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.