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Finding the Fourth Proportional to 181.40, 273.02 and 164.61

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Solution

The fourth proportional to 181.40, 273.02 and 164.61 is: 247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.40 : 273.02 = 164.61 : x
  2. Step 2: Convert to fraction form
    181.40/273.02 = 164.61/x
  3. Step 3: Cross multiply
    181.40x = 273.02 × 164.61
  4. Step 4: Simplify right side
    181.40x = 44,941.00
  5. Step 5: Solve for x
    x = 44,941.00/181.40
  6. Step 6: Final answer
    x = 247.75

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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.