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Finding the Fourth Proportional to 217.69, 326.76 and 192.18

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Solution

The fourth proportional to 217.69, 326.76 and 192.18 is: 288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.69 : 326.76 = 192.18 : x
  2. Step 2: Convert to fraction form
    217.69/326.76 = 192.18/x
  3. Step 3: Cross multiply
    217.69x = 326.76 × 192.18
  4. Step 4: Simplify right side
    217.69x = 62,796.74
  5. Step 5: Solve for x
    x = 62,796.74/217.69
  6. Step 6: Final answer
    x = 288.47

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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.