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Finding the Fourth Proportional to 183.91, 274.52 and 178.78

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Solution

The fourth proportional to 183.91, 274.52 and 178.78 is: 266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.91 : 274.52 = 178.78 : x
  2. Step 2: Convert to fraction form
    183.91/274.52 = 178.78/x
  3. Step 3: Cross multiply
    183.91x = 274.52 × 178.78
  4. Step 4: Simplify right side
    183.91x = 49,078.69
  5. Step 5: Solve for x
    x = 49,078.69/183.91
  6. Step 6: Final answer
    x = 266.86

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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.