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Finding the Fourth Proportional to 324.97, 487.73 and 216.84

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Solution

The fourth proportional to 324.97, 487.73 and 216.84 is: 325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.97 : 487.73 = 216.84 : x
  2. Step 2: Convert to fraction form
    324.97/487.73 = 216.84/x
  3. Step 3: Cross multiply
    324.97x = 487.73 × 216.84
  4. Step 4: Simplify right side
    324.97x = 105,759.37
  5. Step 5: Solve for x
    x = 105,759.37/324.97
  6. Step 6: Final answer
    x = 325.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.