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Finding the Fourth Proportional to 181.10, 249.77 and 165.91

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Solution

The fourth proportional to 181.10, 249.77 and 165.91 is: 228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.10 : 249.77 = 165.91 : x
  2. Step 2: Convert to fraction form
    181.10/249.77 = 165.91/x
  3. Step 3: Cross multiply
    181.10x = 249.77 × 165.91
  4. Step 4: Simplify right side
    181.10x = 41,440.38
  5. Step 5: Solve for x
    x = 41,440.38/181.10
  6. Step 6: Final answer
    x = 228.83

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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.