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Finding the Fourth Proportional to 185.77, 255.26 and 183.88

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Solution

The fourth proportional to 185.77, 255.26 and 183.88 is: 252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.77 : 255.26 = 183.88 : x
  2. Step 2: Convert to fraction form
    185.77/255.26 = 183.88/x
  3. Step 3: Cross multiply
    185.77x = 255.26 × 183.88
  4. Step 4: Simplify right side
    185.77x = 46,937.21
  5. Step 5: Solve for x
    x = 46,937.21/185.77
  6. Step 6: Final answer
    x = 252.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.