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Finding the Fourth Proportional to 218.09, 328.43 and 196.67

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Solution

The fourth proportional to 218.09, 328.43 and 196.67 is: 296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.09 : 328.43 = 196.67 : x
  2. Step 2: Convert to fraction form
    218.09/328.43 = 196.67/x
  3. Step 3: Cross multiply
    218.09x = 328.43 × 196.67
  4. Step 4: Simplify right side
    218.09x = 64,589.70
  5. Step 5: Solve for x
    x = 64,589.70/218.09
  6. Step 6: Final answer
    x = 296.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.