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Finding the Fourth Proportional to 309.69, 427.21 and 199.13

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Solution

The fourth proportional to 309.69, 427.21 and 199.13 is: 274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.69 : 427.21 = 199.13 : x
  2. Step 2: Convert to fraction form
    309.69/427.21 = 199.13/x
  3. Step 3: Cross multiply
    309.69x = 427.21 × 199.13
  4. Step 4: Simplify right side
    309.69x = 85,067.69
  5. Step 5: Solve for x
    x = 85,067.69/309.69
  6. Step 6: Final answer
    x = 274.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.