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Finding the Fourth Proportional to 217.29, 324.29 and 192.99

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Solution

The fourth proportional to 217.29, 324.29 and 192.99 is: 288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.29 : 324.29 = 192.99 : x
  2. Step 2: Convert to fraction form
    217.29/324.29 = 192.99/x
  3. Step 3: Cross multiply
    217.29x = 324.29 × 192.99
  4. Step 4: Simplify right side
    217.29x = 62,584.73
  5. Step 5: Solve for x
    x = 62,584.73/217.29
  6. Step 6: Final answer
    x = 288.02

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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.