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Finding the Fourth Proportional to 196.96, 295.39 and 128.43

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Solution

The fourth proportional to 196.96, 295.39 and 128.43 is: 192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.96 : 295.39 = 128.43 : x
  2. Step 2: Convert to fraction form
    196.96/295.39 = 128.43/x
  3. Step 3: Cross multiply
    196.96x = 295.39 × 128.43
  4. Step 4: Simplify right side
    196.96x = 37,936.94
  5. Step 5: Solve for x
    x = 37,936.94/196.96
  6. Step 6: Final answer
    x = 192.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.