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Finding the Fourth Proportional to 217.85, 324.65 and 211.26

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Solution

The fourth proportional to 217.85, 324.65 and 211.26 is: 314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.85 : 324.65 = 211.26 : x
  2. Step 2: Convert to fraction form
    217.85/324.65 = 211.26/x
  3. Step 3: Cross multiply
    217.85x = 324.65 × 211.26
  4. Step 4: Simplify right side
    217.85x = 68,585.56
  5. Step 5: Solve for x
    x = 68,585.56/217.85
  6. Step 6: Final answer
    x = 314.84

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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.