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Finding the Fourth Proportional to 217.02, 324.84 and 209.88

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Solution

The fourth proportional to 217.02, 324.84 and 209.88 is: 314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.02 : 324.84 = 209.88 : x
  2. Step 2: Convert to fraction form
    217.02/324.84 = 209.88/x
  3. Step 3: Cross multiply
    217.02x = 324.84 × 209.88
  4. Step 4: Simplify right side
    217.02x = 68,177.42
  5. Step 5: Solve for x
    x = 68,177.42/217.02
  6. Step 6: Final answer
    x = 314.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.