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Finding the Fourth Proportional to 192.22, 265.28 and 122.25

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Solution

The fourth proportional to 192.22, 265.28 and 122.25 is: 168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.22 : 265.28 = 122.25 : x
  2. Step 2: Convert to fraction form
    192.22/265.28 = 122.25/x
  3. Step 3: Cross multiply
    192.22x = 265.28 × 122.25
  4. Step 4: Simplify right side
    192.22x = 32,430.48
  5. Step 5: Solve for x
    x = 32,430.48/192.22
  6. Step 6: Final answer
    x = 168.72

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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.