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Finding the Fourth Proportional to 324.63, 447.81 and 206.61

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Solution

The fourth proportional to 324.63, 447.81 and 206.61 is: 285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.63 : 447.81 = 206.61 : x
  2. Step 2: Convert to fraction form
    324.63/447.81 = 206.61/x
  3. Step 3: Cross multiply
    324.63x = 447.81 × 206.61
  4. Step 4: Simplify right side
    324.63x = 92,522.02
  5. Step 5: Solve for x
    x = 92,522.02/324.63
  6. Step 6: Final answer
    x = 285.01

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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.