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Finding the Fourth Proportional to 222.49, 333.47 and 196.86

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Solution

The fourth proportional to 222.49, 333.47 and 196.86 is: 295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.49 : 333.47 = 196.86 : x
  2. Step 2: Convert to fraction form
    222.49/333.47 = 196.86/x
  3. Step 3: Cross multiply
    222.49x = 333.47 × 196.86
  4. Step 4: Simplify right side
    222.49x = 65,645.66
  5. Step 5: Solve for x
    x = 65,645.66/222.49
  6. Step 6: Final answer
    x = 295.06

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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.