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Finding the Fourth Proportional to 196.75, 295.56 and 128.38

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Solution

The fourth proportional to 196.75, 295.56 and 128.38 is: 192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.75 : 295.56 = 128.38 : x
  2. Step 2: Convert to fraction form
    196.75/295.56 = 128.38/x
  3. Step 3: Cross multiply
    196.75x = 295.56 × 128.38
  4. Step 4: Simplify right side
    196.75x = 37,943.99
  5. Step 5: Solve for x
    x = 37,943.99/196.75
  6. Step 6: Final answer
    x = 192.85

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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.