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Finding the Fourth Proportional to 324.50, 447.84 and 208.16

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Solution

The fourth proportional to 324.50, 447.84 and 208.16 is: 287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.50 : 447.84 = 208.16 : x
  2. Step 2: Convert to fraction form
    324.50/447.84 = 208.16/x
  3. Step 3: Cross multiply
    324.50x = 447.84 × 208.16
  4. Step 4: Simplify right side
    324.50x = 93,222.37
  5. Step 5: Solve for x
    x = 93,222.37/324.50
  6. Step 6: Final answer
    x = 287.28

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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.