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Finding the Fourth Proportional to 193.11, 266.31 and 138.12

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Solution

The fourth proportional to 193.11, 266.31 and 138.12 is: 190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.11 : 266.31 = 138.12 : x
  2. Step 2: Convert to fraction form
    193.11/266.31 = 138.12/x
  3. Step 3: Cross multiply
    193.11x = 266.31 × 138.12
  4. Step 4: Simplify right side
    193.11x = 36,782.74
  5. Step 5: Solve for x
    x = 36,782.74/193.11
  6. Step 6: Final answer
    x = 190.48

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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.