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Finding the Fourth Proportional to 193.50, 267.05 and 135.42

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Solution

The fourth proportional to 193.50, 267.05 and 135.42 is: 186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 267.05 = 135.42 : x
  2. Step 2: Convert to fraction form
    193.50/267.05 = 135.42/x
  3. Step 3: Cross multiply
    193.50x = 267.05 × 135.42
  4. Step 4: Simplify right side
    193.50x = 36,163.23
  5. Step 5: Solve for x
    x = 36,163.23/193.50
  6. Step 6: Final answer
    x = 186.89

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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.