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Finding the Fourth Proportional to 183.97, 274.40 and 171.21

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Solution

The fourth proportional to 183.97, 274.40 and 171.21 is: 255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.97 : 274.40 = 171.21 : x
  2. Step 2: Convert to fraction form
    183.97/274.40 = 171.21/x
  3. Step 3: Cross multiply
    183.97x = 274.40 × 171.21
  4. Step 4: Simplify right side
    183.97x = 46,979.30
  5. Step 5: Solve for x
    x = 46,979.30/183.97
  6. Step 6: Final answer
    x = 255.37

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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.