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Finding the Fourth Proportional to 183.72, 274.15 and 163.26

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Solution

The fourth proportional to 183.72, 274.15 and 163.26 is: 243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.72 : 274.15 = 163.26 : x
  2. Step 2: Convert to fraction form
    183.72/274.15 = 163.26/x
  3. Step 3: Cross multiply
    183.72x = 274.15 × 163.26
  4. Step 4: Simplify right side
    183.72x = 44,758.82
  5. Step 5: Solve for x
    x = 44,758.82/183.72
  6. Step 6: Final answer
    x = 243.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.