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Finding the Fourth Proportional to 193.11, 266.52 and 119.49

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Solution

The fourth proportional to 193.11, 266.52 and 119.49 is: 164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.11 : 266.52 = 119.49 : x
  2. Step 2: Convert to fraction form
    193.11/266.52 = 119.49/x
  3. Step 3: Cross multiply
    193.11x = 266.52 × 119.49
  4. Step 4: Simplify right side
    193.11x = 31,846.47
  5. Step 5: Solve for x
    x = 31,846.47/193.11
  6. Step 6: Final answer
    x = 164.91

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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.