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Finding the Fourth Proportional to 324.42, 447.86 and 208.05

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Solution

The fourth proportional to 324.42, 447.86 and 208.05 is: 287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.42 : 447.86 = 208.05 : x
  2. Step 2: Convert to fraction form
    324.42/447.86 = 208.05/x
  3. Step 3: Cross multiply
    324.42x = 447.86 × 208.05
  4. Step 4: Simplify right side
    324.42x = 93,176.23
  5. Step 5: Solve for x
    x = 93,176.23/324.42
  6. Step 6: Final answer
    x = 287.21

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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.