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Finding the Fourth Proportional to 193.02, 266.39 and 109

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Solution

The fourth proportional to 193.02, 266.39 and 109 is: 150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.02 : 266.39 = 109 : x
  2. Step 2: Convert to fraction form
    193.02/266.39 = 109/x
  3. Step 3: Cross multiply
    193.02x = 266.39 × 109
  4. Step 4: Simplify right side
    193.02x = 29,035.97
  5. Step 5: Solve for x
    x = 29,035.97/193.02
  6. Step 6: Final answer
    x = 150.43

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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.