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Finding the Fourth Proportional to 194.42, 268.30 and 111.54

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Solution

The fourth proportional to 194.42, 268.30 and 111.54 is: 153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.42 : 268.30 = 111.54 : x
  2. Step 2: Convert to fraction form
    194.42/268.30 = 111.54/x
  3. Step 3: Cross multiply
    194.42x = 268.30 × 111.54
  4. Step 4: Simplify right side
    194.42x = 29,926.18
  5. Step 5: Solve for x
    x = 29,926.18/194.42
  6. Step 6: Final answer
    x = 153.93

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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.