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Finding the Fourth Proportional to 219.90, 327.98 and 190.78

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Solution

The fourth proportional to 219.90, 327.98 and 190.78 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.90 : 327.98 = 190.78 : x
  2. Step 2: Convert to fraction form
    219.90/327.98 = 190.78/x
  3. Step 3: Cross multiply
    219.90x = 327.98 × 190.78
  4. Step 4: Simplify right side
    219.90x = 62,571.03
  5. Step 5: Solve for x
    x = 62,571.03/219.90
  6. Step 6: Final answer
    x = 284.55

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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.