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Finding the Fourth Proportional to 272.36, 408.65 and 127.97

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Solution

The fourth proportional to 272.36, 408.65 and 127.97 is: 192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.36 : 408.65 = 127.97 : x
  2. Step 2: Convert to fraction form
    272.36/408.65 = 127.97/x
  3. Step 3: Cross multiply
    272.36x = 408.65 × 127.97
  4. Step 4: Simplify right side
    272.36x = 52,292.26
  5. Step 5: Solve for x
    x = 52,292.26/272.36
  6. Step 6: Final answer
    x = 192.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.