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Finding the Fourth Proportional to 273.79, 377.85 and 163.27

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Solution

The fourth proportional to 273.79, 377.85 and 163.27 is: 225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.79 : 377.85 = 163.27 : x
  2. Step 2: Convert to fraction form
    273.79/377.85 = 163.27/x
  3. Step 3: Cross multiply
    273.79x = 377.85 × 163.27
  4. Step 4: Simplify right side
    273.79x = 61,691.57
  5. Step 5: Solve for x
    x = 61,691.57/273.79
  6. Step 6: Final answer
    x = 225.32

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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.