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Finding the Fourth Proportional to 309.39, 426.94 and 169.49

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Solution

The fourth proportional to 309.39, 426.94 and 169.49 is: 233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.39 : 426.94 = 169.49 : x
  2. Step 2: Convert to fraction form
    309.39/426.94 = 169.49/x
  3. Step 3: Cross multiply
    309.39x = 426.94 × 169.49
  4. Step 4: Simplify right side
    309.39x = 72,362.06
  5. Step 5: Solve for x
    x = 72,362.06/309.39
  6. Step 6: Final answer
    x = 233.89

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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.