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Finding the Fourth Proportional to 193.78, 267.21 and 179.80

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Solution

The fourth proportional to 193.78, 267.21 and 179.80 is: 247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.78 : 267.21 = 179.80 : x
  2. Step 2: Convert to fraction form
    193.78/267.21 = 179.80/x
  3. Step 3: Cross multiply
    193.78x = 267.21 × 179.80
  4. Step 4: Simplify right side
    193.78x = 48,044.36
  5. Step 5: Solve for x
    x = 48,044.36/193.78
  6. Step 6: Final answer
    x = 247.93

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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.