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Finding the Fourth Proportional to 181.82, 250.91 and 103.15

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Solution

The fourth proportional to 181.82, 250.91 and 103.15 is: 142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.82 : 250.91 = 103.15 : x
  2. Step 2: Convert to fraction form
    181.82/250.91 = 103.15/x
  3. Step 3: Cross multiply
    181.82x = 250.91 × 103.15
  4. Step 4: Simplify right side
    181.82x = 25,879.60
  5. Step 5: Solve for x
    x = 25,879.60/181.82
  6. Step 6: Final answer
    x = 142.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.