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Finding the Fourth Proportional to 327.34, 451.19 and 280.77

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Solution

The fourth proportional to 327.34, 451.19 and 280.77 is: 386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.34 : 451.19 = 280.77 : x
  2. Step 2: Convert to fraction form
    327.34/451.19 = 280.77/x
  3. Step 3: Cross multiply
    327.34x = 451.19 × 280.77
  4. Step 4: Simplify right side
    327.34x = 126,678.05
  5. Step 5: Solve for x
    x = 126,678.05/327.34
  6. Step 6: Final answer
    x = 386.99

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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.