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Finding the Fourth Proportional to 181.24, 273.27 and 178.96

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Solution

The fourth proportional to 181.24, 273.27 and 178.96 is: 269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.24 : 273.27 = 178.96 : x
  2. Step 2: Convert to fraction form
    181.24/273.27 = 178.96/x
  3. Step 3: Cross multiply
    181.24x = 273.27 × 178.96
  4. Step 4: Simplify right side
    181.24x = 48,904.90
  5. Step 5: Solve for x
    x = 48,904.90/181.24
  6. Step 6: Final answer
    x = 269.84

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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.