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Finding the Fourth Proportional to 309.96, 427.79 and 178.97

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Solution

The fourth proportional to 309.96, 427.79 and 178.97 is: 246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 427.79 = 178.97 : x
  2. Step 2: Convert to fraction form
    309.96/427.79 = 178.97/x
  3. Step 3: Cross multiply
    309.96x = 427.79 × 178.97
  4. Step 4: Simplify right side
    309.96x = 76,558.54
  5. Step 5: Solve for x
    x = 76,558.54/309.96
  6. Step 6: Final answer
    x = 246.99

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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.