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Finding the Fourth Proportional to 331.89, 497.55 and 169.77

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Solution

The fourth proportional to 331.89, 497.55 and 169.77 is: 254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.89 : 497.55 = 169.77 : x
  2. Step 2: Convert to fraction form
    331.89/497.55 = 169.77/x
  3. Step 3: Cross multiply
    331.89x = 497.55 × 169.77
  4. Step 4: Simplify right side
    331.89x = 84,469.06
  5. Step 5: Solve for x
    x = 84,469.06/331.89
  6. Step 6: Final answer
    x = 254.51

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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.