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Finding the Fourth Proportional to 326.87, 490.31 and 190.88

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Solution

The fourth proportional to 326.87, 490.31 and 190.88 is: 286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.87 : 490.31 = 190.88 : x
  2. Step 2: Convert to fraction form
    326.87/490.31 = 190.88/x
  3. Step 3: Cross multiply
    326.87x = 490.31 × 190.88
  4. Step 4: Simplify right side
    326.87x = 93,590.37
  5. Step 5: Solve for x
    x = 93,590.37/326.87
  6. Step 6: Final answer
    x = 286.32

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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.