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Finding the Fourth Proportional to 181.22, 249.60 and 142.34

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Solution

The fourth proportional to 181.22, 249.60 and 142.34 is: 196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.22 : 249.60 = 142.34 : x
  2. Step 2: Convert to fraction form
    181.22/249.60 = 142.34/x
  3. Step 3: Cross multiply
    181.22x = 249.60 × 142.34
  4. Step 4: Simplify right side
    181.22x = 35,528.06
  5. Step 5: Solve for x
    x = 35,528.06/181.22
  6. Step 6: Final answer
    x = 196.05

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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.