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Finding the Fourth Proportional to 181.24, 249.11 and 160.41

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Solution

The fourth proportional to 181.24, 249.11 and 160.41 is: 220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.24 : 249.11 = 160.41 : x
  2. Step 2: Convert to fraction form
    181.24/249.11 = 160.41/x
  3. Step 3: Cross multiply
    181.24x = 249.11 × 160.41
  4. Step 4: Simplify right side
    181.24x = 39,959.74
  5. Step 5: Solve for x
    x = 39,959.74/181.24
  6. Step 6: Final answer
    x = 220.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.