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Finding the Fourth Proportional to 193.87, 267.15 and 157.06

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Solution

The fourth proportional to 193.87, 267.15 and 157.06 is: 216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.87 : 267.15 = 157.06 : x
  2. Step 2: Convert to fraction form
    193.87/267.15 = 157.06/x
  3. Step 3: Cross multiply
    193.87x = 267.15 × 157.06
  4. Step 4: Simplify right side
    193.87x = 41,958.58
  5. Step 5: Solve for x
    x = 41,958.58/193.87
  6. Step 6: Final answer
    x = 216.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.