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Finding the Fourth Proportional to 219.20, 327.36 and 186.88

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Solution

The fourth proportional to 219.20, 327.36 and 186.88 is: 279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.20 : 327.36 = 186.88 : x
  2. Step 2: Convert to fraction form
    219.20/327.36 = 186.88/x
  3. Step 3: Cross multiply
    219.20x = 327.36 × 186.88
  4. Step 4: Simplify right side
    219.20x = 61,177.04
  5. Step 5: Solve for x
    x = 61,177.04/219.20
  6. Step 6: Final answer
    x = 279.09

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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.