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Finding the Fourth Proportional to 331.75, 497.29 and 115.17

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Solution

The fourth proportional to 331.75, 497.29 and 115.17 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.75 : 497.29 = 115.17 : x
  2. Step 2: Convert to fraction form
    331.75/497.29 = 115.17/x
  3. Step 3: Cross multiply
    331.75x = 497.29 × 115.17
  4. Step 4: Simplify right side
    331.75x = 57,273.75
  5. Step 5: Solve for x
    x = 57,273.75/331.75
  6. Step 6: Final answer
    x = 172.64

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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.