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Finding the Fourth Proportional to 324.07, 485.72 and 226.04

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Solution

The fourth proportional to 324.07, 485.72 and 226.04 is: 338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.07 : 485.72 = 226.04 : x
  2. Step 2: Convert to fraction form
    324.07/485.72 = 226.04/x
  3. Step 3: Cross multiply
    324.07x = 485.72 × 226.04
  4. Step 4: Simplify right side
    324.07x = 109,792.15
  5. Step 5: Solve for x
    x = 109,792.15/324.07
  6. Step 6: Final answer
    x = 338.79

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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.