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Finding the Fourth Proportional to 181.62, 251.81 and 171.90

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Solution

The fourth proportional to 181.62, 251.81 and 171.90 is: 238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.62 : 251.81 = 171.90 : x
  2. Step 2: Convert to fraction form
    181.62/251.81 = 171.90/x
  3. Step 3: Cross multiply
    181.62x = 251.81 × 171.90
  4. Step 4: Simplify right side
    181.62x = 43,286.14
  5. Step 5: Solve for x
    x = 43,286.14/181.62
  6. Step 6: Final answer
    x = 238.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.