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Finding the Fourth Proportional to 327.28, 490.70 and 189.70

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Solution

The fourth proportional to 327.28, 490.70 and 189.70 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.28 : 490.70 = 189.70 : x
  2. Step 2: Convert to fraction form
    327.28/490.70 = 189.70/x
  3. Step 3: Cross multiply
    327.28x = 490.70 × 189.70
  4. Step 4: Simplify right side
    327.28x = 93,085.79
  5. Step 5: Solve for x
    x = 93,085.79/327.28
  6. Step 6: Final answer
    x = 284.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.