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Finding the Fourth Proportional to 194.68, 268.61 and 111.77

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Solution

The fourth proportional to 194.68, 268.61 and 111.77 is: 154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.68 : 268.61 = 111.77 : x
  2. Step 2: Convert to fraction form
    194.68/268.61 = 111.77/x
  3. Step 3: Cross multiply
    194.68x = 268.61 × 111.77
  4. Step 4: Simplify right side
    194.68x = 30,020.64
  5. Step 5: Solve for x
    x = 30,020.64/194.68
  6. Step 6: Final answer
    x = 154.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.