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Finding the Fourth Proportional to 255.56, 380.50 and 252.82

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Solution

The fourth proportional to 255.56, 380.50 and 252.82 is: 376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.56 : 380.50 = 252.82 : x
  2. Step 2: Convert to fraction form
    255.56/380.50 = 252.82/x
  3. Step 3: Cross multiply
    255.56x = 380.50 × 252.82
  4. Step 4: Simplify right side
    255.56x = 96,197.85
  5. Step 5: Solve for x
    x = 96,197.85/255.56
  6. Step 6: Final answer
    x = 376.43

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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.