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Finding the Fourth Proportional to 217.65, 326.07 and 120

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Solution

The fourth proportional to 217.65, 326.07 and 120 is: 179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.65 : 326.07 = 120 : x
  2. Step 2: Convert to fraction form
    217.65/326.07 = 120/x
  3. Step 3: Cross multiply
    217.65x = 326.07 × 120
  4. Step 4: Simplify right side
    217.65x = 39,128.40
  5. Step 5: Solve for x
    x = 39,128.40/217.65
  6. Step 6: Final answer
    x = 179.78

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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.