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Finding the Fourth Proportional to 217.05, 324.30 and 161.22

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Solution

The fourth proportional to 217.05, 324.30 and 161.22 is: 240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.05 : 324.30 = 161.22 : x
  2. Step 2: Convert to fraction form
    217.05/324.30 = 161.22/x
  3. Step 3: Cross multiply
    217.05x = 324.30 × 161.22
  4. Step 4: Simplify right side
    217.05x = 52,284.56
  5. Step 5: Solve for x
    x = 52,284.56/217.05
  6. Step 6: Final answer
    x = 240.89

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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.