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Finding the Fourth Proportional to 193.78, 265.97 and 187.84

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Solution

The fourth proportional to 193.78, 265.97 and 187.84 is: 257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.78 : 265.97 = 187.84 : x
  2. Step 2: Convert to fraction form
    193.78/265.97 = 187.84/x
  3. Step 3: Cross multiply
    193.78x = 265.97 × 187.84
  4. Step 4: Simplify right side
    193.78x = 49,959.80
  5. Step 5: Solve for x
    x = 49,959.80/193.78
  6. Step 6: Final answer
    x = 257.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.