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Finding the Fourth Proportional to 181.05, 249.86 and 102.36

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Solution

The fourth proportional to 181.05, 249.86 and 102.36 is: 141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.05 : 249.86 = 102.36 : x
  2. Step 2: Convert to fraction form
    181.05/249.86 = 102.36/x
  3. Step 3: Cross multiply
    181.05x = 249.86 × 102.36
  4. Step 4: Simplify right side
    181.05x = 25,575.47
  5. Step 5: Solve for x
    x = 25,575.47/181.05
  6. Step 6: Final answer
    x = 141.26

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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.