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Finding the Fourth Proportional to 324.01, 485.07 and 169.57

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Solution

The fourth proportional to 324.01, 485.07 and 169.57 is: 253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.01 : 485.07 = 169.57 : x
  2. Step 2: Convert to fraction form
    324.01/485.07 = 169.57/x
  3. Step 3: Cross multiply
    324.01x = 485.07 × 169.57
  4. Step 4: Simplify right side
    324.01x = 82,253.32
  5. Step 5: Solve for x
    x = 82,253.32/324.01
  6. Step 6: Final answer
    x = 253.86

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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.