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Finding the Fourth Proportional to 193.98, 289.64 and 170.97

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Solution

The fourth proportional to 193.98, 289.64 and 170.97 is: 255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.98 : 289.64 = 170.97 : x
  2. Step 2: Convert to fraction form
    193.98/289.64 = 170.97/x
  3. Step 3: Cross multiply
    193.98x = 289.64 × 170.97
  4. Step 4: Simplify right side
    193.98x = 49,519.75
  5. Step 5: Solve for x
    x = 49,519.75/193.98
  6. Step 6: Final answer
    x = 255.28

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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.