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Finding the Fourth Proportional to 181.08, 273.69 and 181.08

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Solution

The fourth proportional to 181.08, 273.69 and 181.08 is: 273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.08 : 273.69 = 181.08 : x
  2. Step 2: Convert to fraction form
    181.08/273.69 = 181.08/x
  3. Step 3: Cross multiply
    181.08x = 273.69 × 181.08
  4. Step 4: Simplify right side
    181.08x = 49,559.79
  5. Step 5: Solve for x
    x = 49,559.79/181.08
  6. Step 6: Final answer
    x = 273.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.