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Finding the Fourth Proportional to 326.87, 490.16 and 189.96

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Solution

The fourth proportional to 326.87, 490.16 and 189.96 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.87 : 490.16 = 189.96 : x
  2. Step 2: Convert to fraction form
    326.87/490.16 = 189.96/x
  3. Step 3: Cross multiply
    326.87x = 490.16 × 189.96
  4. Step 4: Simplify right side
    326.87x = 93,111.12
  5. Step 5: Solve for x
    x = 93,111.12/326.87
  6. Step 6: Final answer
    x = 284.85

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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.