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Finding the Fourth Proportional to 193.66, 266.83 and 131.42

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Solution

The fourth proportional to 193.66, 266.83 and 131.42 is: 181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.66 : 266.83 = 131.42 : x
  2. Step 2: Convert to fraction form
    193.66/266.83 = 131.42/x
  3. Step 3: Cross multiply
    193.66x = 266.83 × 131.42
  4. Step 4: Simplify right side
    193.66x = 35,067.14
  5. Step 5: Solve for x
    x = 35,067.14/193.66
  6. Step 6: Final answer
    x = 181.08

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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.