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Finding the Fourth Proportional to 127.92, 192.80 and 122.08

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Solution

The fourth proportional to 127.92, 192.80 and 122.08 is: 184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.92 : 192.80 = 122.08 : x
  2. Step 2: Convert to fraction form
    127.92/192.80 = 122.08/x
  3. Step 3: Cross multiply
    127.92x = 192.80 × 122.08
  4. Step 4: Simplify right side
    127.92x = 23,537.02
  5. Step 5: Solve for x
    x = 23,537.02/127.92
  6. Step 6: Final answer
    x = 184.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.