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Finding the Fourth Proportional to 217.83, 324.62 and 213.21

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Solution

The fourth proportional to 217.83, 324.62 and 213.21 is: 317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.83 : 324.62 = 213.21 : x
  2. Step 2: Convert to fraction form
    217.83/324.62 = 213.21/x
  3. Step 3: Cross multiply
    217.83x = 324.62 × 213.21
  4. Step 4: Simplify right side
    217.83x = 69,212.23
  5. Step 5: Solve for x
    x = 69,212.23/217.83
  6. Step 6: Final answer
    x = 317.74

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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.