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Finding the Fourth Proportional to 219.14, 327.27 and 190.34

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Solution

The fourth proportional to 219.14, 327.27 and 190.34 is: 284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.14 : 327.27 = 190.34 : x
  2. Step 2: Convert to fraction form
    219.14/327.27 = 190.34/x
  3. Step 3: Cross multiply
    219.14x = 327.27 × 190.34
  4. Step 4: Simplify right side
    219.14x = 62,292.57
  5. Step 5: Solve for x
    x = 62,292.57/219.14
  6. Step 6: Final answer
    x = 284.26

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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.