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Finding the Fourth Proportional to 194.31, 290.79 and 121.14

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Solution

The fourth proportional to 194.31, 290.79 and 121.14 is: 181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.31 : 290.79 = 121.14 : x
  2. Step 2: Convert to fraction form
    194.31/290.79 = 121.14/x
  3. Step 3: Cross multiply
    194.31x = 290.79 × 121.14
  4. Step 4: Simplify right side
    194.31x = 35,226.30
  5. Step 5: Solve for x
    x = 35,226.30/194.31
  6. Step 6: Final answer
    x = 181.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.