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Finding the Fourth Proportional to 231.05, 344.10 and 222.97

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Solution

The fourth proportional to 231.05, 344.10 and 222.97 is: 332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.05 : 344.10 = 222.97 : x
  2. Step 2: Convert to fraction form
    231.05/344.10 = 222.97/x
  3. Step 3: Cross multiply
    231.05x = 344.10 × 222.97
  4. Step 4: Simplify right side
    231.05x = 76,723.34
  5. Step 5: Solve for x
    x = 76,723.34/231.05
  6. Step 6: Final answer
    x = 332.06

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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.