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Finding the Fourth Proportional to 273.72, 377.76 and 163.23

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Solution

The fourth proportional to 273.72, 377.76 and 163.23 is: 225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.72 : 377.76 = 163.23 : x
  2. Step 2: Convert to fraction form
    273.72/377.76 = 163.23/x
  3. Step 3: Cross multiply
    273.72x = 377.76 × 163.23
  4. Step 4: Simplify right side
    273.72x = 61,661.76
  5. Step 5: Solve for x
    x = 61,661.76/273.72
  6. Step 6: Final answer
    x = 225.27

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