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Finding the Fourth Proportional to 799.20, 1,198.20 and 312.28

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Solution

The fourth proportional to 799.20, 1,198.20 and 312.28 is: 468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.20 : 1,198.20 = 312.28 : x
  2. Step 2: Convert to fraction form
    799.20/1,198.20 = 312.28/x
  3. Step 3: Cross multiply
    799.20x = 1,198.20 × 312.28
  4. Step 4: Simplify right side
    799.20x = 374,173.90
  5. Step 5: Solve for x
    x = 374,173.90/799.20
  6. Step 6: Final answer
    x = 468.19

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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.