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Finding the Fourth Proportional to 193.27, 266.56 and 131.15

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Solution

The fourth proportional to 193.27, 266.56 and 131.15 is: 180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.27 : 266.56 = 131.15 : x
  2. Step 2: Convert to fraction form
    193.27/266.56 = 131.15/x
  3. Step 3: Cross multiply
    193.27x = 266.56 × 131.15
  4. Step 4: Simplify right side
    193.27x = 34,959.34
  5. Step 5: Solve for x
    x = 34,959.34/193.27
  6. Step 6: Final answer
    x = 180.88

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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.