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Finding the Fourth Proportional to 218.14, 326.99 and 137.04

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Solution

The fourth proportional to 218.14, 326.99 and 137.04 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.14 : 326.99 = 137.04 : x
  2. Step 2: Convert to fraction form
    218.14/326.99 = 137.04/x
  3. Step 3: Cross multiply
    218.14x = 326.99 × 137.04
  4. Step 4: Simplify right side
    218.14x = 44,808.39
  5. Step 5: Solve for x
    x = 44,808.39/218.14
  6. Step 6: Final answer
    x = 205.42

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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.