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Finding the Fourth Proportional to 327.09, 450.40 and 280.36

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Solution

The fourth proportional to 327.09, 450.40 and 280.36 is: 386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.09 : 450.40 = 280.36 : x
  2. Step 2: Convert to fraction form
    327.09/450.40 = 280.36/x
  3. Step 3: Cross multiply
    327.09x = 450.40 × 280.36
  4. Step 4: Simplify right side
    327.09x = 126,272.00
  5. Step 5: Solve for x
    x = 126,272.00/327.09
  6. Step 6: Final answer
    x = 386.04

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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.