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Finding the Fourth Proportional to 192.09, 264.99 and 122.16

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Solution

The fourth proportional to 192.09, 264.99 and 122.16 is: 168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.09 : 264.99 = 122.16 : x
  2. Step 2: Convert to fraction form
    192.09/264.99 = 122.16/x
  3. Step 3: Cross multiply
    192.09x = 264.99 × 122.16
  4. Step 4: Simplify right side
    192.09x = 32,371.18
  5. Step 5: Solve for x
    x = 32,371.18/192.09
  6. Step 6: Final answer
    x = 168.52

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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.