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Finding the Fourth Proportional to 181.72, 249.74 and 160.87

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Solution

The fourth proportional to 181.72, 249.74 and 160.87 is: 221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.72 : 249.74 = 160.87 : x
  2. Step 2: Convert to fraction form
    181.72/249.74 = 160.87/x
  3. Step 3: Cross multiply
    181.72x = 249.74 × 160.87
  4. Step 4: Simplify right side
    181.72x = 40,175.67
  5. Step 5: Solve for x
    x = 40,175.67/181.72
  6. Step 6: Final answer
    x = 221.09

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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.