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Finding the Fourth Proportional to 122.21, 168.22 and 101.26

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Solution

The fourth proportional to 122.21, 168.22 and 101.26 is: 139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.21 : 168.22 = 101.26 : x
  2. Step 2: Convert to fraction form
    122.21/168.22 = 101.26/x
  3. Step 3: Cross multiply
    122.21x = 168.22 × 101.26
  4. Step 4: Simplify right side
    122.21x = 17,032.78
  5. Step 5: Solve for x
    x = 17,032.78/122.21
  6. Step 6: Final answer
    x = 139.37

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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.