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Finding the Fourth Proportional to 324.06, 485.32 and 226.65

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Solution

The fourth proportional to 324.06, 485.32 and 226.65 is: 339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.06 : 485.32 = 226.65 : x
  2. Step 2: Convert to fraction form
    324.06/485.32 = 226.65/x
  3. Step 3: Cross multiply
    324.06x = 485.32 × 226.65
  4. Step 4: Simplify right side
    324.06x = 109,997.78
  5. Step 5: Solve for x
    x = 109,997.78/324.06
  6. Step 6: Final answer
    x = 339.44

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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.