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Finding the Fourth Proportional to 219.35, 327.59 and 196.67

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Solution

The fourth proportional to 219.35, 327.59 and 196.67 is: 293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.35 : 327.59 = 196.67 : x
  2. Step 2: Convert to fraction form
    219.35/327.59 = 196.67/x
  3. Step 3: Cross multiply
    219.35x = 327.59 × 196.67
  4. Step 4: Simplify right side
    219.35x = 64,424.50
  5. Step 5: Solve for x
    x = 64,424.50/219.35
  6. Step 6: Final answer
    x = 293.71

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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.