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Finding the Fourth Proportional to 225.57, 336.69 and 196.92

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Solution

The fourth proportional to 225.57, 336.69 and 196.92 is: 293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.57 : 336.69 = 196.92 : x
  2. Step 2: Convert to fraction form
    225.57/336.69 = 196.92/x
  3. Step 3: Cross multiply
    225.57x = 336.69 × 196.92
  4. Step 4: Simplify right side
    225.57x = 66,300.99
  5. Step 5: Solve for x
    x = 66,300.99/225.57
  6. Step 6: Final answer
    x = 293.93

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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.