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Finding the Fourth Proportional to 327.42, 451.56 and 217.05

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Solution

The fourth proportional to 327.42, 451.56 and 217.05 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.42 : 451.56 = 217.05 : x
  2. Step 2: Convert to fraction form
    327.42/451.56 = 217.05/x
  3. Step 3: Cross multiply
    327.42x = 451.56 × 217.05
  4. Step 4: Simplify right side
    327.42x = 98,011.10
  5. Step 5: Solve for x
    x = 98,011.10/327.42
  6. Step 6: Final answer
    x = 299.34

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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.