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Finding the Fourth Proportional to 193.52, 266.93 and 138.41

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Solution

The fourth proportional to 193.52, 266.93 and 138.41 is: 190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.52 : 266.93 = 138.41 : x
  2. Step 2: Convert to fraction form
    193.52/266.93 = 138.41/x
  3. Step 3: Cross multiply
    193.52x = 266.93 × 138.41
  4. Step 4: Simplify right side
    193.52x = 36,945.27
  5. Step 5: Solve for x
    x = 36,945.27/193.52
  6. Step 6: Final answer
    x = 190.91

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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.