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Finding the Fourth Proportional to 183.78, 274.41 and 163.35

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Solution

The fourth proportional to 183.78, 274.41 and 163.35 is: 243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.78 : 274.41 = 163.35 : x
  2. Step 2: Convert to fraction form
    183.78/274.41 = 163.35/x
  3. Step 3: Cross multiply
    183.78x = 274.41 × 163.35
  4. Step 4: Simplify right side
    183.78x = 44,824.87
  5. Step 5: Solve for x
    x = 44,824.87/183.78
  6. Step 6: Final answer
    x = 243.91

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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.