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Finding the Fourth Proportional to 183.41, 276.49 and 171.66

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Solution

The fourth proportional to 183.41, 276.49 and 171.66 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.41 : 276.49 = 171.66 : x
  2. Step 2: Convert to fraction form
    183.41/276.49 = 171.66/x
  3. Step 3: Cross multiply
    183.41x = 276.49 × 171.66
  4. Step 4: Simplify right side
    183.41x = 47,463.52
  5. Step 5: Solve for x
    x = 47,463.52/183.41
  6. Step 6: Final answer
    x = 258.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.