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Finding the Fourth Proportional to 231.76, 349.14 and 220.44

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Solution

The fourth proportional to 231.76, 349.14 and 220.44 is: 332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.76 : 349.14 = 220.44 : x
  2. Step 2: Convert to fraction form
    231.76/349.14 = 220.44/x
  3. Step 3: Cross multiply
    231.76x = 349.14 × 220.44
  4. Step 4: Simplify right side
    231.76x = 76,964.42
  5. Step 5: Solve for x
    x = 76,964.42/231.76
  6. Step 6: Final answer
    x = 332.09

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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.