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Finding the Fourth Proportional to 217.92, 325.39 and 189.97

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Solution

The fourth proportional to 217.92, 325.39 and 189.97 is: 283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.92 : 325.39 = 189.97 : x
  2. Step 2: Convert to fraction form
    217.92/325.39 = 189.97/x
  3. Step 3: Cross multiply
    217.92x = 325.39 × 189.97
  4. Step 4: Simplify right side
    217.92x = 61,814.34
  5. Step 5: Solve for x
    x = 61,814.34/217.92
  6. Step 6: Final answer
    x = 283.66

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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.