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Finding the Fourth Proportional to 324.67, 451.16 and 321.34

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Solution

The fourth proportional to 324.67, 451.16 and 321.34 is: 446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.67 : 451.16 = 321.34 : x
  2. Step 2: Convert to fraction form
    324.67/451.16 = 321.34/x
  3. Step 3: Cross multiply
    324.67x = 451.16 × 321.34
  4. Step 4: Simplify right side
    324.67x = 144,975.75
  5. Step 5: Solve for x
    x = 144,975.75/324.67
  6. Step 6: Final answer
    x = 446.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.