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Finding the Fourth Proportional to 231.91, 346.63 and 226.44

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Solution

The fourth proportional to 231.91, 346.63 and 226.44 is: 338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.91 : 346.63 = 226.44 : x
  2. Step 2: Convert to fraction form
    231.91/346.63 = 226.44/x
  3. Step 3: Cross multiply
    231.91x = 346.63 × 226.44
  4. Step 4: Simplify right side
    231.91x = 78,490.90
  5. Step 5: Solve for x
    x = 78,490.90/231.91
  6. Step 6: Final answer
    x = 338.45

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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.