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Finding the Fourth Proportional to 324.82, 445.82 and 289.04

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Solution

The fourth proportional to 324.82, 445.82 and 289.04 is: 396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.82 : 445.82 = 289.04 : x
  2. Step 2: Convert to fraction form
    324.82/445.82 = 289.04/x
  3. Step 3: Cross multiply
    324.82x = 445.82 × 289.04
  4. Step 4: Simplify right side
    324.82x = 128,861.65
  5. Step 5: Solve for x
    x = 128,861.65/324.82
  6. Step 6: Final answer
    x = 396.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.