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Finding the Fourth Proportional to 324.57, 446.81 and 293.39

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Solution

The fourth proportional to 324.57, 446.81 and 293.39 is: 403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.57 : 446.81 = 293.39 : x
  2. Step 2: Convert to fraction form
    324.57/446.81 = 293.39/x
  3. Step 3: Cross multiply
    324.57x = 446.81 × 293.39
  4. Step 4: Simplify right side
    324.57x = 131,089.59
  5. Step 5: Solve for x
    x = 131,089.59/324.57
  6. Step 6: Final answer
    x = 403.89

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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.