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Finding the Fourth Proportional to 225.73, 311.55 and 142.87

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Solution

The fourth proportional to 225.73, 311.55 and 142.87 is: 197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.73 : 311.55 = 142.87 : x
  2. Step 2: Convert to fraction form
    225.73/311.55 = 142.87/x
  3. Step 3: Cross multiply
    225.73x = 311.55 × 142.87
  4. Step 4: Simplify right side
    225.73x = 44,511.15
  5. Step 5: Solve for x
    x = 44,511.15/225.73
  6. Step 6: Final answer
    x = 197.19

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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.