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Finding the Fourth Proportional to 227.13, 339.51 and 196.63

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Solution

The fourth proportional to 227.13, 339.51 and 196.63 is: 293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.13 : 339.51 = 196.63 : x
  2. Step 2: Convert to fraction form
    227.13/339.51 = 196.63/x
  3. Step 3: Cross multiply
    227.13x = 339.51 × 196.63
  4. Step 4: Simplify right side
    227.13x = 66,756.87
  5. Step 5: Solve for x
    x = 66,756.87/227.13
  6. Step 6: Final answer
    x = 293.91

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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.