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Finding the Fourth Proportional to 791.32, 1,186.96 and 243.48

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Solution

The fourth proportional to 791.32, 1,186.96 and 243.48 is: 365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.32 : 1,186.96 = 243.48 : x
  2. Step 2: Convert to fraction form
    791.32/1,186.96 = 243.48/x
  3. Step 3: Cross multiply
    791.32x = 1,186.96 × 243.48
  4. Step 4: Simplify right side
    791.32x = 289,001.02
  5. Step 5: Solve for x
    x = 289,001.02/791.32
  6. Step 6: Final answer
    x = 365.21

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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.