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Finding the Fourth Proportional to 408.24, 611.40 and 327.15

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Solution

The fourth proportional to 408.24, 611.40 and 327.15 is: 489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.24 : 611.40 = 327.15 : x
  2. Step 2: Convert to fraction form
    408.24/611.40 = 327.15/x
  3. Step 3: Cross multiply
    408.24x = 611.40 × 327.15
  4. Step 4: Simplify right side
    408.24x = 200,019.51
  5. Step 5: Solve for x
    x = 200,019.51/408.24
  6. Step 6: Final answer
    x = 489.96

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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.