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Finding the Fourth Proportional to 327.45, 451.78 and 211.08

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Solution

The fourth proportional to 327.45, 451.78 and 211.08 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.45 : 451.78 = 211.08 : x
  2. Step 2: Convert to fraction form
    327.45/451.78 = 211.08/x
  3. Step 3: Cross multiply
    327.45x = 451.78 × 211.08
  4. Step 4: Simplify right side
    327.45x = 95,361.72
  5. Step 5: Solve for x
    x = 95,361.72/327.45
  6. Step 6: Final answer
    x = 291.23

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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.