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Finding the Fourth Proportional to 309.42, 426.67 and 192.78

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Solution

The fourth proportional to 309.42, 426.67 and 192.78 is: 265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.42 : 426.67 = 192.78 : x
  2. Step 2: Convert to fraction form
    309.42/426.67 = 192.78/x
  3. Step 3: Cross multiply
    309.42x = 426.67 × 192.78
  4. Step 4: Simplify right side
    309.42x = 82,250.35
  5. Step 5: Solve for x
    x = 82,250.35/309.42
  6. Step 6: Final answer
    x = 265.83

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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.