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Finding the Fourth Proportional to 222.24, 331.91 and 195.97

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Solution

The fourth proportional to 222.24, 331.91 and 195.97 is: 292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.24 : 331.91 = 195.97 : x
  2. Step 2: Convert to fraction form
    222.24/331.91 = 195.97/x
  3. Step 3: Cross multiply
    222.24x = 331.91 × 195.97
  4. Step 4: Simplify right side
    222.24x = 65,044.23
  5. Step 5: Solve for x
    x = 65,044.23/222.24
  6. Step 6: Final answer
    x = 292.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.