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Finding the Fourth Proportional to 181.31, 273.19 and 164.21

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Solution

The fourth proportional to 181.31, 273.19 and 164.21 is: 247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.31 : 273.19 = 164.21 : x
  2. Step 2: Convert to fraction form
    181.31/273.19 = 164.21/x
  3. Step 3: Cross multiply
    181.31x = 273.19 × 164.21
  4. Step 4: Simplify right side
    181.31x = 44,860.53
  5. Step 5: Solve for x
    x = 44,860.53/181.31
  6. Step 6: Final answer
    x = 247.42

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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.