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Finding the Fourth Proportional to 219.57, 327.74 and 190.88

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Solution

The fourth proportional to 219.57, 327.74 and 190.88 is: 284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.57 : 327.74 = 190.88 : x
  2. Step 2: Convert to fraction form
    219.57/327.74 = 190.88/x
  3. Step 3: Cross multiply
    219.57x = 327.74 × 190.88
  4. Step 4: Simplify right side
    219.57x = 62,560.31
  5. Step 5: Solve for x
    x = 62,560.31/219.57
  6. Step 6: Final answer
    x = 284.92

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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.