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Finding the Fourth Proportional to 193.78, 267.37 and 110.89

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Solution

The fourth proportional to 193.78, 267.37 and 110.89 is: 153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.78 : 267.37 = 110.89 : x
  2. Step 2: Convert to fraction form
    193.78/267.37 = 110.89/x
  3. Step 3: Cross multiply
    193.78x = 267.37 × 110.89
  4. Step 4: Simplify right side
    193.78x = 29,648.66
  5. Step 5: Solve for x
    x = 29,648.66/193.78
  6. Step 6: Final answer
    x = 153.00

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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.