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Finding the Fourth Proportional to 226.87, 313.11 and 127.29

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Solution

The fourth proportional to 226.87, 313.11 and 127.29 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.87 : 313.11 = 127.29 : x
  2. Step 2: Convert to fraction form
    226.87/313.11 = 127.29/x
  3. Step 3: Cross multiply
    226.87x = 313.11 × 127.29
  4. Step 4: Simplify right side
    226.87x = 39,856.95
  5. Step 5: Solve for x
    x = 39,856.95/226.87
  6. Step 6: Final answer
    x = 175.68

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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.