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Finding the Fourth Proportional to 216.89, 324.85 and 108.44

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Solution

The fourth proportional to 216.89, 324.85 and 108.44 is: 162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.89 : 324.85 = 108.44 : x
  2. Step 2: Convert to fraction form
    216.89/324.85 = 108.44/x
  3. Step 3: Cross multiply
    216.89x = 324.85 × 108.44
  4. Step 4: Simplify right side
    216.89x = 35,226.73
  5. Step 5: Solve for x
    x = 35,226.73/216.89
  6. Step 6: Final answer
    x = 162.42

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Why These Related Problems?

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