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Finding the Fourth Proportional to 181.69, 272.67 and 122.46

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Solution

The fourth proportional to 181.69, 272.67 and 122.46 is: 183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.69 : 272.67 = 122.46 : x
  2. Step 2: Convert to fraction form
    181.69/272.67 = 122.46/x
  3. Step 3: Cross multiply
    181.69x = 272.67 × 122.46
  4. Step 4: Simplify right side
    181.69x = 33,391.22
  5. Step 5: Solve for x
    x = 33,391.22/181.69
  6. Step 6: Final answer
    x = 183.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.