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Finding the Fourth Proportional to 231.84, 345.27 and 217.89

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Solution

The fourth proportional to 231.84, 345.27 and 217.89 is: 324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.84 : 345.27 = 217.89 : x
  2. Step 2: Convert to fraction form
    231.84/345.27 = 217.89/x
  3. Step 3: Cross multiply
    231.84x = 345.27 × 217.89
  4. Step 4: Simplify right side
    231.84x = 75,230.88
  5. Step 5: Solve for x
    x = 75,230.88/231.84
  6. Step 6: Final answer
    x = 324.49

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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.