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Finding the Fourth Proportional to 327.70, 494.11 and 324.16

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Solution

The fourth proportional to 327.70, 494.11 and 324.16 is: 488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.70 : 494.11 = 324.16 : x
  2. Step 2: Convert to fraction form
    327.70/494.11 = 324.16/x
  3. Step 3: Cross multiply
    327.70x = 494.11 × 324.16
  4. Step 4: Simplify right side
    327.70x = 160,170.70
  5. Step 5: Solve for x
    x = 160,170.70/327.70
  6. Step 6: Final answer
    x = 488.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.