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Finding the Fourth Proportional to 324.52, 447.54 and 208.12

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Solution

The fourth proportional to 324.52, 447.54 and 208.12 is: 287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.52 : 447.54 = 208.12 : x
  2. Step 2: Convert to fraction form
    324.52/447.54 = 208.12/x
  3. Step 3: Cross multiply
    324.52x = 447.54 × 208.12
  4. Step 4: Simplify right side
    324.52x = 93,142.02
  5. Step 5: Solve for x
    x = 93,142.02/324.52
  6. Step 6: Final answer
    x = 287.01

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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.