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Finding the Fourth Proportional to 181.36, 269.99 and 180.82

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Solution

The fourth proportional to 181.36, 269.99 and 180.82 is: 269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.36 : 269.99 = 180.82 : x
  2. Step 2: Convert to fraction form
    181.36/269.99 = 180.82/x
  3. Step 3: Cross multiply
    181.36x = 269.99 × 180.82
  4. Step 4: Simplify right side
    181.36x = 48,819.59
  5. Step 5: Solve for x
    x = 48,819.59/181.36
  6. Step 6: Final answer
    x = 269.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.