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Finding the Fourth Proportional to 231.50, 344.94 and 219.62

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Solution

The fourth proportional to 231.50, 344.94 and 219.62 is: 327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.50 : 344.94 = 219.62 : x
  2. Step 2: Convert to fraction form
    231.50/344.94 = 219.62/x
  3. Step 3: Cross multiply
    231.50x = 344.94 × 219.62
  4. Step 4: Simplify right side
    231.50x = 75,755.72
  5. Step 5: Solve for x
    x = 75,755.72/231.50
  6. Step 6: Final answer
    x = 327.24

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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.