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Finding the Fourth Proportional to 274.38, 378.64 and 163.85

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Solution

The fourth proportional to 274.38, 378.64 and 163.85 is: 226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.38 : 378.64 = 163.85 : x
  2. Step 2: Convert to fraction form
    274.38/378.64 = 163.85/x
  3. Step 3: Cross multiply
    274.38x = 378.64 × 163.85
  4. Step 4: Simplify right side
    274.38x = 62,040.16
  5. Step 5: Solve for x
    x = 62,040.16/274.38
  6. Step 6: Final answer
    x = 226.11

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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.