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Finding the Fourth Proportional to 309.67, 427.12 and 199.26

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Solution

The fourth proportional to 309.67, 427.12 and 199.26 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.67 : 427.12 = 199.26 : x
  2. Step 2: Convert to fraction form
    309.67/427.12 = 199.26/x
  3. Step 3: Cross multiply
    309.67x = 427.12 × 199.26
  4. Step 4: Simplify right side
    309.67x = 85,108.55
  5. Step 5: Solve for x
    x = 85,108.55/309.67
  6. Step 6: Final answer
    x = 274.83

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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.