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Finding the Fourth Proportional to 218.76, 326.29 and 212.27

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Solution

The fourth proportional to 218.76, 326.29 and 212.27 is: 316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.76 : 326.29 = 212.27 : x
  2. Step 2: Convert to fraction form
    218.76/326.29 = 212.27/x
  3. Step 3: Cross multiply
    218.76x = 326.29 × 212.27
  4. Step 4: Simplify right side
    218.76x = 69,261.65
  5. Step 5: Solve for x
    x = 69,261.65/218.76
  6. Step 6: Final answer
    x = 316.62

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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.