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Finding the Fourth Proportional to 324.02, 486.03 and 80.55

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Solution

The fourth proportional to 324.02, 486.03 and 80.55 is: 120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.02 : 486.03 = 80.55 : x
  2. Step 2: Convert to fraction form
    324.02/486.03 = 80.55/x
  3. Step 3: Cross multiply
    324.02x = 486.03 × 80.55
  4. Step 4: Simplify right side
    324.02x = 39,147.97
  5. Step 5: Solve for x
    x = 39,147.97/324.02
  6. Step 6: Final answer
    x = 120.82

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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.