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Finding the Fourth Proportional to 193.50, 267.04 and 109.49

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Solution

The fourth proportional to 193.50, 267.04 and 109.49 is: 151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 267.04 = 109.49 : x
  2. Step 2: Convert to fraction form
    193.50/267.04 = 109.49/x
  3. Step 3: Cross multiply
    193.50x = 267.04 × 109.49
  4. Step 4: Simplify right side
    193.50x = 29,237.66
  5. Step 5: Solve for x
    x = 29,237.66/193.50
  6. Step 6: Final answer
    x = 151.10

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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.