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Finding the Fourth Proportional to 324.62, 487.34 and 323.14

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Solution

The fourth proportional to 324.62, 487.34 and 323.14 is: 485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.62 : 487.34 = 323.14 : x
  2. Step 2: Convert to fraction form
    324.62/487.34 = 323.14/x
  3. Step 3: Cross multiply
    324.62x = 487.34 × 323.14
  4. Step 4: Simplify right side
    324.62x = 157,476.21
  5. Step 5: Solve for x
    x = 157,476.21/324.62
  6. Step 6: Final answer
    x = 485.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.