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Finding the Fourth Proportional to 219.62, 327.82 and 193.66

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Solution

The fourth proportional to 219.62, 327.82 and 193.66 is: 289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.62 : 327.82 = 193.66 : x
  2. Step 2: Convert to fraction form
    219.62/327.82 = 193.66/x
  3. Step 3: Cross multiply
    219.62x = 327.82 × 193.66
  4. Step 4: Simplify right side
    219.62x = 63,485.62
  5. Step 5: Solve for x
    x = 63,485.62/219.62
  6. Step 6: Final answer
    x = 289.07

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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.