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Finding the Fourth Proportional to 324.23, 446.78 and 231.08

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Solution

The fourth proportional to 324.23, 446.78 and 231.08 is: 318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.23 : 446.78 = 231.08 : x
  2. Step 2: Convert to fraction form
    324.23/446.78 = 231.08/x
  3. Step 3: Cross multiply
    324.23x = 446.78 × 231.08
  4. Step 4: Simplify right side
    324.23x = 103,240.27
  5. Step 5: Solve for x
    x = 103,240.27/324.23
  6. Step 6: Final answer
    x = 318.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.