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Finding the Fourth Proportional to 229.09, 342.38 and 196.57

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Solution

The fourth proportional to 229.09, 342.38 and 196.57 is: 293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.09 : 342.38 = 196.57 : x
  2. Step 2: Convert to fraction form
    229.09/342.38 = 196.57/x
  3. Step 3: Cross multiply
    229.09x = 342.38 × 196.57
  4. Step 4: Simplify right side
    229.09x = 67,301.64
  5. Step 5: Solve for x
    x = 67,301.64/229.09
  6. Step 6: Final answer
    x = 293.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.