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Finding the Fourth Proportional to 218.50, 326.11 and 193.84

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Solution

The fourth proportional to 218.50, 326.11 and 193.84 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.50 : 326.11 = 193.84 : x
  2. Step 2: Convert to fraction form
    218.50/326.11 = 193.84/x
  3. Step 3: Cross multiply
    218.50x = 326.11 × 193.84
  4. Step 4: Simplify right side
    218.50x = 63,213.16
  5. Step 5: Solve for x
    x = 63,213.16/218.50
  6. Step 6: Final answer
    x = 289.31

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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.