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Finding the Fourth Proportional to 274, 378.04 and 163.42

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Solution

The fourth proportional to 274, 378.04 and 163.42 is: 225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274 : 378.04 = 163.42 : x
  2. Step 2: Convert to fraction form
    274/378.04 = 163.42/x
  3. Step 3: Cross multiply
    274x = 378.04 × 163.42
  4. Step 4: Simplify right side
    274x = 61,779.30
  5. Step 5: Solve for x
    x = 61,779.30/274
  6. Step 6: Final answer
    x = 225.47

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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.