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Finding the Fourth Proportional to 127.22, 175.29 and 122.42

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Solution

The fourth proportional to 127.22, 175.29 and 122.42 is: 168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.22 : 175.29 = 122.42 : x
  2. Step 2: Convert to fraction form
    127.22/175.29 = 122.42/x
  3. Step 3: Cross multiply
    127.22x = 175.29 × 122.42
  4. Step 4: Simplify right side
    127.22x = 21,459.00
  5. Step 5: Solve for x
    x = 21,459.00/127.22
  6. Step 6: Final answer
    x = 168.68

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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.