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Finding the Fourth Proportional to 225.40, 311.11 and 127.22

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Solution

The fourth proportional to 225.40, 311.11 and 127.22 is: 175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.40 : 311.11 = 127.22 : x
  2. Step 2: Convert to fraction form
    225.40/311.11 = 127.22/x
  3. Step 3: Cross multiply
    225.40x = 311.11 × 127.22
  4. Step 4: Simplify right side
    225.40x = 39,578.02
  5. Step 5: Solve for x
    x = 39,578.02/225.40
  6. Step 6: Final answer
    x = 175.59

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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.