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Finding the Fourth Proportional to 324.10, 446.52 and 286.42

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Solution

The fourth proportional to 324.10, 446.52 and 286.42 is: 394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.10 : 446.52 = 286.42 : x
  2. Step 2: Convert to fraction form
    324.10/446.52 = 286.42/x
  3. Step 3: Cross multiply
    324.10x = 446.52 × 286.42
  4. Step 4: Simplify right side
    324.10x = 127,892.26
  5. Step 5: Solve for x
    x = 127,892.26/324.10
  6. Step 6: Final answer
    x = 394.61

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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.