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Finding the Fourth Proportional to 231.67, 349.22 and 228.43

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Solution

The fourth proportional to 231.67, 349.22 and 228.43 is: 344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.67 : 349.22 = 228.43 : x
  2. Step 2: Convert to fraction form
    231.67/349.22 = 228.43/x
  3. Step 3: Cross multiply
    231.67x = 349.22 × 228.43
  4. Step 4: Simplify right side
    231.67x = 79,772.32
  5. Step 5: Solve for x
    x = 79,772.32/231.67
  6. Step 6: Final answer
    x = 344.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.