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Finding the Fourth Proportional to 324.27, 485.19 and 194.33

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Solution

The fourth proportional to 324.27, 485.19 and 194.33 is: 290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.27 : 485.19 = 194.33 : x
  2. Step 2: Convert to fraction form
    324.27/485.19 = 194.33/x
  3. Step 3: Cross multiply
    324.27x = 485.19 × 194.33
  4. Step 4: Simplify right side
    324.27x = 94,288.19
  5. Step 5: Solve for x
    x = 94,288.19/324.27
  6. Step 6: Final answer
    x = 290.77

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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.