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Finding the Fourth Proportional to 324.12, 486.27 and 161.90

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Solution

The fourth proportional to 324.12, 486.27 and 161.90 is: 242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.12 : 486.27 = 161.90 : x
  2. Step 2: Convert to fraction form
    324.12/486.27 = 161.90/x
  3. Step 3: Cross multiply
    324.12x = 486.27 × 161.90
  4. Step 4: Simplify right side
    324.12x = 78,724.68
  5. Step 5: Solve for x
    x = 78,724.68/324.12
  6. Step 6: Final answer
    x = 242.89

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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.