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Finding the Fourth Proportional to 217.21, 324.63 and 199.91

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Solution

The fourth proportional to 217.21, 324.63 and 199.91 is: 298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.21 : 324.63 = 199.91 : x
  2. Step 2: Convert to fraction form
    217.21/324.63 = 199.91/x
  3. Step 3: Cross multiply
    217.21x = 324.63 × 199.91
  4. Step 4: Simplify right side
    217.21x = 64,895.16
  5. Step 5: Solve for x
    x = 64,895.16/217.21
  6. Step 6: Final answer
    x = 298.77

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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.