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Finding the Fourth Proportional to 324.09, 446.85 and 282.02

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Solution

The fourth proportional to 324.09, 446.85 and 282.02 is: 388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 446.85 = 282.02 : x
  2. Step 2: Convert to fraction form
    324.09/446.85 = 282.02/x
  3. Step 3: Cross multiply
    324.09x = 446.85 × 282.02
  4. Step 4: Simplify right side
    324.09x = 126,018.11
  5. Step 5: Solve for x
    x = 126,018.11/324.09
  6. Step 6: Final answer
    x = 388.83

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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.