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Finding the Fourth Proportional to 217.74, 324.33 and 199.56

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Solution

The fourth proportional to 217.74, 324.33 and 199.56 is: 297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.74 : 324.33 = 199.56 : x
  2. Step 2: Convert to fraction form
    217.74/324.33 = 199.56/x
  3. Step 3: Cross multiply
    217.74x = 324.33 × 199.56
  4. Step 4: Simplify right side
    217.74x = 64,723.29
  5. Step 5: Solve for x
    x = 64,723.29/217.74
  6. Step 6: Final answer
    x = 297.25

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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.