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Finding the Fourth Proportional to 193.87, 290.67 and 157.42

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Solution

The fourth proportional to 193.87, 290.67 and 157.42 is: 236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.87 : 290.67 = 157.42 : x
  2. Step 2: Convert to fraction form
    193.87/290.67 = 157.42/x
  3. Step 3: Cross multiply
    193.87x = 290.67 × 157.42
  4. Step 4: Simplify right side
    193.87x = 45,757.27
  5. Step 5: Solve for x
    x = 45,757.27/193.87
  6. Step 6: Final answer
    x = 236.02

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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.