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Finding the Fourth Proportional to 327.65, 451.37 and 271.28

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Solution

The fourth proportional to 327.65, 451.37 and 271.28 is: 373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.65 : 451.37 = 271.28 : x
  2. Step 2: Convert to fraction form
    327.65/451.37 = 271.28/x
  3. Step 3: Cross multiply
    327.65x = 451.37 × 271.28
  4. Step 4: Simplify right side
    327.65x = 122,449.46
  5. Step 5: Solve for x
    x = 122,449.46/327.65
  6. Step 6: Final answer
    x = 373.73

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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.