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Finding the Fourth Proportional to 231.36, 344.68 and 226.48

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Solution

The fourth proportional to 231.36, 344.68 and 226.48 is: 337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.36 : 344.68 = 226.48 : x
  2. Step 2: Convert to fraction form
    231.36/344.68 = 226.48/x
  3. Step 3: Cross multiply
    231.36x = 344.68 × 226.48
  4. Step 4: Simplify right side
    231.36x = 78,063.13
  5. Step 5: Solve for x
    x = 78,063.13/231.36
  6. Step 6: Final answer
    x = 337.41

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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.