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Finding the Fourth Proportional to 217.10, 323.16 and 213.86

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Solution

The fourth proportional to 217.10, 323.16 and 213.86 is: 318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.10 : 323.16 = 213.86 : x
  2. Step 2: Convert to fraction form
    217.10/323.16 = 213.86/x
  3. Step 3: Cross multiply
    217.10x = 323.16 × 213.86
  4. Step 4: Simplify right side
    217.10x = 69,110.18
  5. Step 5: Solve for x
    x = 69,110.18/217.10
  6. Step 6: Final answer
    x = 318.34

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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.