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Finding the Fourth Proportional to 791.36, 1,186.64 and 271.28

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Solution

The fourth proportional to 791.36, 1,186.64 and 271.28 is: 406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.36 : 1,186.64 = 271.28 : x
  2. Step 2: Convert to fraction form
    791.36/1,186.64 = 271.28/x
  3. Step 3: Cross multiply
    791.36x = 1,186.64 × 271.28
  4. Step 4: Simplify right side
    791.36x = 321,911.70
  5. Step 5: Solve for x
    x = 321,911.70/791.36
  6. Step 6: Final answer
    x = 406.78

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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.