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Finding the Fourth Proportional to 193.46, 267.08 and 131.62

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Solution

The fourth proportional to 193.46, 267.08 and 131.62 is: 181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.46 : 267.08 = 131.62 : x
  2. Step 2: Convert to fraction form
    193.46/267.08 = 131.62/x
  3. Step 3: Cross multiply
    193.46x = 267.08 × 131.62
  4. Step 4: Simplify right side
    193.46x = 35,153.07
  5. Step 5: Solve for x
    x = 35,153.07/193.46
  6. Step 6: Final answer
    x = 181.71

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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.