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Finding the Fourth Proportional to 331.78, 497.79 and 169.33

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Solution

The fourth proportional to 331.78, 497.79 and 169.33 is: 254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.78 : 497.79 = 169.33 : x
  2. Step 2: Convert to fraction form
    331.78/497.79 = 169.33/x
  3. Step 3: Cross multiply
    331.78x = 497.79 × 169.33
  4. Step 4: Simplify right side
    331.78x = 84,290.78
  5. Step 5: Solve for x
    x = 84,290.78/331.78
  6. Step 6: Final answer
    x = 254.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.