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Finding the Fourth Proportional to 324.14, 447.46 and 207.77

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Solution

The fourth proportional to 324.14, 447.46 and 207.77 is: 286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.14 : 447.46 = 207.77 : x
  2. Step 2: Convert to fraction form
    324.14/447.46 = 207.77/x
  3. Step 3: Cross multiply
    324.14x = 447.46 × 207.77
  4. Step 4: Simplify right side
    324.14x = 92,966.01
  5. Step 5: Solve for x
    x = 92,966.01/324.14
  6. Step 6: Final answer
    x = 286.81

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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.