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Finding the Fourth Proportional to 193.44, 266.78 and 138.16

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Solution

The fourth proportional to 193.44, 266.78 and 138.16 is: 190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.44 : 266.78 = 138.16 : x
  2. Step 2: Convert to fraction form
    193.44/266.78 = 138.16/x
  3. Step 3: Cross multiply
    193.44x = 266.78 × 138.16
  4. Step 4: Simplify right side
    193.44x = 36,858.32
  5. Step 5: Solve for x
    x = 36,858.32/193.44
  6. Step 6: Final answer
    x = 190.54

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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.