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Finding the Fourth Proportional to 327.69, 491.20 and 191.00

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Solution

The fourth proportional to 327.69, 491.20 and 191.00 is: 286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.69 : 491.20 = 191.00 : x
  2. Step 2: Convert to fraction form
    327.69/491.20 = 191.00/x
  3. Step 3: Cross multiply
    327.69x = 491.20 × 191.00
  4. Step 4: Simplify right side
    327.69x = 93,819.95
  5. Step 5: Solve for x
    x = 93,819.95/327.69
  6. Step 6: Final answer
    x = 286.31

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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.