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Finding the Fourth Proportional to 194.36, 268.22 and 111.48

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Solution

The fourth proportional to 194.36, 268.22 and 111.48 is: 153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.36 : 268.22 = 111.48 : x
  2. Step 2: Convert to fraction form
    194.36/268.22 = 111.48/x
  3. Step 3: Cross multiply
    194.36x = 268.22 × 111.48
  4. Step 4: Simplify right side
    194.36x = 29,901.17
  5. Step 5: Solve for x
    x = 29,901.17/194.36
  6. Step 6: Final answer
    x = 153.84

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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.