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Finding the Fourth Proportional to 309.31, 426.68 and 192.67

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Solution

The fourth proportional to 309.31, 426.68 and 192.67 is: 265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.31 : 426.68 = 192.67 : x
  2. Step 2: Convert to fraction form
    309.31/426.68 = 192.67/x
  3. Step 3: Cross multiply
    309.31x = 426.68 × 192.67
  4. Step 4: Simplify right side
    309.31x = 82,208.44
  5. Step 5: Solve for x
    x = 82,208.44/309.31
  6. Step 6: Final answer
    x = 265.78

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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.