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Finding the Fourth Proportional to 193.57, 290.35 and 167.85

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Solution

The fourth proportional to 193.57, 290.35 and 167.85 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.57 : 290.35 = 167.85 : x
  2. Step 2: Convert to fraction form
    193.57/290.35 = 167.85/x
  3. Step 3: Cross multiply
    193.57x = 290.35 × 167.85
  4. Step 4: Simplify right side
    193.57x = 48,735.46
  5. Step 5: Solve for x
    x = 48,735.46/193.57
  6. Step 6: Final answer
    x = 251.78

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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.