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Finding the Fourth Proportional to 193.92, 268.32 and 185.92

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Solution

The fourth proportional to 193.92, 268.32 and 185.92 is: 257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.92 : 268.32 = 185.92 : x
  2. Step 2: Convert to fraction form
    193.92/268.32 = 185.92/x
  3. Step 3: Cross multiply
    193.92x = 268.32 × 185.92
  4. Step 4: Simplify right side
    193.92x = 49,886.05
  5. Step 5: Solve for x
    x = 49,886.05/193.92
  6. Step 6: Final answer
    x = 257.25

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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.