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Finding the Fourth Proportional to 225.96, 311.57 and 142.96

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Solution

The fourth proportional to 225.96, 311.57 and 142.96 is: 197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.96 : 311.57 = 142.96 : x
  2. Step 2: Convert to fraction form
    225.96/311.57 = 142.96/x
  3. Step 3: Cross multiply
    225.96x = 311.57 × 142.96
  4. Step 4: Simplify right side
    225.96x = 44,542.05
  5. Step 5: Solve for x
    x = 44,542.05/225.96
  6. Step 6: Final answer
    x = 197.12

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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.