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Finding the Fourth Proportional to 231.82, 348.09 and 221.56

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Solution

The fourth proportional to 231.82, 348.09 and 221.56 is: 332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.82 : 348.09 = 221.56 : x
  2. Step 2: Convert to fraction form
    231.82/348.09 = 221.56/x
  3. Step 3: Cross multiply
    231.82x = 348.09 × 221.56
  4. Step 4: Simplify right side
    231.82x = 77,122.82
  5. Step 5: Solve for x
    x = 77,122.82/231.82
  6. Step 6: Final answer
    x = 332.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.