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Finding the Fourth Proportional to 196.78, 293.69 and 170.95

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Solution

The fourth proportional to 196.78, 293.69 and 170.95 is: 255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.78 : 293.69 = 170.95 : x
  2. Step 2: Convert to fraction form
    196.78/293.69 = 170.95/x
  3. Step 3: Cross multiply
    196.78x = 293.69 × 170.95
  4. Step 4: Simplify right side
    196.78x = 50,206.31
  5. Step 5: Solve for x
    x = 50,206.31/196.78
  6. Step 6: Final answer
    x = 255.14

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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.