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Finding the Fourth Proportional to 192.02, 264.94 and 122.09

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Solution

The fourth proportional to 192.02, 264.94 and 122.09 is: 168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.02 : 264.94 = 122.09 : x
  2. Step 2: Convert to fraction form
    192.02/264.94 = 122.09/x
  3. Step 3: Cross multiply
    192.02x = 264.94 × 122.09
  4. Step 4: Simplify right side
    192.02x = 32,346.52
  5. Step 5: Solve for x
    x = 32,346.52/192.02
  6. Step 6: Final answer
    x = 168.45

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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.