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Finding the Fourth Proportional to 331.56, 494.37 and 329.40

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Solution

The fourth proportional to 331.56, 494.37 and 329.40 is: 491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.56 : 494.37 = 329.40 : x
  2. Step 2: Convert to fraction form
    331.56/494.37 = 329.40/x
  3. Step 3: Cross multiply
    331.56x = 494.37 × 329.40
  4. Step 4: Simplify right side
    331.56x = 162,845.48
  5. Step 5: Solve for x
    x = 162,845.48/331.56
  6. Step 6: Final answer
    x = 491.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.