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Finding the Fourth Proportional to 324.24, 447.28 and 225.83

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Solution

The fourth proportional to 324.24, 447.28 and 225.83 is: 311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.24 : 447.28 = 225.83 : x
  2. Step 2: Convert to fraction form
    324.24/447.28 = 225.83/x
  3. Step 3: Cross multiply
    324.24x = 447.28 × 225.83
  4. Step 4: Simplify right side
    324.24x = 101,009.24
  5. Step 5: Solve for x
    x = 101,009.24/324.24
  6. Step 6: Final answer
    x = 311.53

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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.