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Finding the Fourth Proportional to 217.57, 324.41 and 209.67

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Solution

The fourth proportional to 217.57, 324.41 and 209.67 is: 312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.57 : 324.41 = 209.67 : x
  2. Step 2: Convert to fraction form
    217.57/324.41 = 209.67/x
  3. Step 3: Cross multiply
    217.57x = 324.41 × 209.67
  4. Step 4: Simplify right side
    217.57x = 68,019.57
  5. Step 5: Solve for x
    x = 68,019.57/217.57
  6. Step 6: Final answer
    x = 312.64

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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.