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Finding the Fourth Proportional to 183.68, 255.14 and 180.74

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Solution

The fourth proportional to 183.68, 255.14 and 180.74 is: 251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.68 : 255.14 = 180.74 : x
  2. Step 2: Convert to fraction form
    183.68/255.14 = 180.74/x
  3. Step 3: Cross multiply
    183.68x = 255.14 × 180.74
  4. Step 4: Simplify right side
    183.68x = 46,114.00
  5. Step 5: Solve for x
    x = 46,114.00/183.68
  6. Step 6: Final answer
    x = 251.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.