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Finding the Fourth Proportional to 324.30, 485.58 and 221.42

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Solution

The fourth proportional to 324.30, 485.58 and 221.42 is: 331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 485.58 = 221.42 : x
  2. Step 2: Convert to fraction form
    324.30/485.58 = 221.42/x
  3. Step 3: Cross multiply
    324.30x = 485.58 × 221.42
  4. Step 4: Simplify right side
    324.30x = 107,517.12
  5. Step 5: Solve for x
    x = 107,517.12/324.30
  6. Step 6: Final answer
    x = 331.54

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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.