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Finding the Fourth Proportional to 193.97, 290.78 and 85.70

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Solution

The fourth proportional to 193.97, 290.78 and 85.70 is: 128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.97 : 290.78 = 85.70 : x
  2. Step 2: Convert to fraction form
    193.97/290.78 = 85.70/x
  3. Step 3: Cross multiply
    193.97x = 290.78 × 85.70
  4. Step 4: Simplify right side
    193.97x = 24,919.42
  5. Step 5: Solve for x
    x = 24,919.42/193.97
  6. Step 6: Final answer
    x = 128.47

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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.