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Finding the Fourth Proportional to 217.56, 324.33 and 200.28

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Solution

The fourth proportional to 217.56, 324.33 and 200.28 is: 298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.56 : 324.33 = 200.28 : x
  2. Step 2: Convert to fraction form
    217.56/324.33 = 200.28/x
  3. Step 3: Cross multiply
    217.56x = 324.33 × 200.28
  4. Step 4: Simplify right side
    217.56x = 64,956.81
  5. Step 5: Solve for x
    x = 64,956.81/217.56
  6. Step 6: Final answer
    x = 298.57

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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.