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Finding the Fourth Proportional to 326.99, 490.42 and 121.65

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Solution

The fourth proportional to 326.99, 490.42 and 121.65 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.99 : 490.42 = 121.65 : x
  2. Step 2: Convert to fraction form
    326.99/490.42 = 121.65/x
  3. Step 3: Cross multiply
    326.99x = 490.42 × 121.65
  4. Step 4: Simplify right side
    326.99x = 59,659.59
  5. Step 5: Solve for x
    x = 59,659.59/326.99
  6. Step 6: Final answer
    x = 182.45

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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.