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Finding the Fourth Proportional to 119.01, 163.84 and 92.75

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Solution

The fourth proportional to 119.01, 163.84 and 92.75 is: 127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.01 : 163.84 = 92.75 : x
  2. Step 2: Convert to fraction form
    119.01/163.84 = 92.75/x
  3. Step 3: Cross multiply
    119.01x = 163.84 × 92.75
  4. Step 4: Simplify right side
    119.01x = 15,195.34
  5. Step 5: Solve for x
    x = 15,195.34/119.01
  6. Step 6: Final answer
    x = 127.68

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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.