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Finding the Fourth Proportional to 231.14, 344.49 and 230.78

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Solution

The fourth proportional to 231.14, 344.49 and 230.78 is: 343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.14 : 344.49 = 230.78 : x
  2. Step 2: Convert to fraction form
    231.14/344.49 = 230.78/x
  3. Step 3: Cross multiply
    231.14x = 344.49 × 230.78
  4. Step 4: Simplify right side
    231.14x = 79,500.25
  5. Step 5: Solve for x
    x = 79,500.25/231.14
  6. Step 6: Final answer
    x = 343.95

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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.