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Finding the Fourth Proportional to 217.30, 324.28 and 194.23

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Solution

The fourth proportional to 217.30, 324.28 and 194.23 is: 289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.30 : 324.28 = 194.23 : x
  2. Step 2: Convert to fraction form
    217.30/324.28 = 194.23/x
  3. Step 3: Cross multiply
    217.30x = 324.28 × 194.23
  4. Step 4: Simplify right side
    217.30x = 62,984.90
  5. Step 5: Solve for x
    x = 62,984.90/217.30
  6. Step 6: Final answer
    x = 289.85

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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.