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Finding the Fourth Proportional to 255.41, 350.16 and 250.80

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Solution

The fourth proportional to 255.41, 350.16 and 250.80 is: 343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.41 : 350.16 = 250.80 : x
  2. Step 2: Convert to fraction form
    255.41/350.16 = 250.80/x
  3. Step 3: Cross multiply
    255.41x = 350.16 × 250.80
  4. Step 4: Simplify right side
    255.41x = 87,820.13
  5. Step 5: Solve for x
    x = 87,820.13/255.41
  6. Step 6: Final answer
    x = 343.85

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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.