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Finding the Fourth Proportional to 217.53, 324.24 and 201.12

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Solution

The fourth proportional to 217.53, 324.24 and 201.12 is: 299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 324.24 = 201.12 : x
  2. Step 2: Convert to fraction form
    217.53/324.24 = 201.12/x
  3. Step 3: Cross multiply
    217.53x = 324.24 × 201.12
  4. Step 4: Simplify right side
    217.53x = 65,211.15
  5. Step 5: Solve for x
    x = 65,211.15/217.53
  6. Step 6: Final answer
    x = 299.78

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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.