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Finding the Fourth Proportional to 127.17, 189.44 and 122.73

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Solution

The fourth proportional to 127.17, 189.44 and 122.73 is: 182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.17 : 189.44 = 122.73 : x
  2. Step 2: Convert to fraction form
    127.17/189.44 = 122.73/x
  3. Step 3: Cross multiply
    127.17x = 189.44 × 122.73
  4. Step 4: Simplify right side
    127.17x = 23,249.11
  5. Step 5: Solve for x
    x = 23,249.11/127.17
  6. Step 6: Final answer
    x = 182.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.