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Finding the Fourth Proportional to 273.58, 377.44 and 161.48

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Solution

The fourth proportional to 273.58, 377.44 and 161.48 is: 222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.58 : 377.44 = 161.48 : x
  2. Step 2: Convert to fraction form
    273.58/377.44 = 161.48/x
  3. Step 3: Cross multiply
    273.58x = 377.44 × 161.48
  4. Step 4: Simplify right side
    273.58x = 60,949.55
  5. Step 5: Solve for x
    x = 60,949.55/273.58
  6. Step 6: Final answer
    x = 222.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.