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Finding the Fourth Proportional to 217.87, 324.71 and 217.54

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Solution

The fourth proportional to 217.87, 324.71 and 217.54 is: 324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.87 : 324.71 = 217.54 : x
  2. Step 2: Convert to fraction form
    217.87/324.71 = 217.54/x
  3. Step 3: Cross multiply
    217.87x = 324.71 × 217.54
  4. Step 4: Simplify right side
    217.87x = 70,635.72
  5. Step 5: Solve for x
    x = 70,635.72/217.87
  6. Step 6: Final answer
    x = 324.21

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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.