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Finding the Fourth Proportional to 225.75, 311.37 and 142.78

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Solution

The fourth proportional to 225.75, 311.37 and 142.78 is: 196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.75 : 311.37 = 142.78 : x
  2. Step 2: Convert to fraction form
    225.75/311.37 = 142.78/x
  3. Step 3: Cross multiply
    225.75x = 311.37 × 142.78
  4. Step 4: Simplify right side
    225.75x = 44,455.85
  5. Step 5: Solve for x
    x = 44,455.85/225.75
  6. Step 6: Final answer
    x = 196.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.