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Finding the Fourth Proportional to 796.12, 1,194.16 and 211.13

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Solution

The fourth proportional to 796.12, 1,194.16 and 211.13 is: 316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.12 : 1,194.16 = 211.13 : x
  2. Step 2: Convert to fraction form
    796.12/1,194.16 = 211.13/x
  3. Step 3: Cross multiply
    796.12x = 1,194.16 × 211.13
  4. Step 4: Simplify right side
    796.12x = 252,120.07
  5. Step 5: Solve for x
    x = 252,120.07/796.12
  6. Step 6: Final answer
    x = 316.69

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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.