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Finding the Fourth Proportional to 193.47, 266.87 and 131.33

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Solution

The fourth proportional to 193.47, 266.87 and 131.33 is: 181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.47 : 266.87 = 131.33 : x
  2. Step 2: Convert to fraction form
    193.47/266.87 = 131.33/x
  3. Step 3: Cross multiply
    193.47x = 266.87 × 131.33
  4. Step 4: Simplify right side
    193.47x = 35,046.05
  5. Step 5: Solve for x
    x = 35,046.05/193.47
  6. Step 6: Final answer
    x = 181.14

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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.