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Finding the Fourth Proportional to 194.35, 291.73 and 103.12

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Solution

The fourth proportional to 194.35, 291.73 and 103.12 is: 154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.35 : 291.73 = 103.12 : x
  2. Step 2: Convert to fraction form
    194.35/291.73 = 103.12/x
  3. Step 3: Cross multiply
    194.35x = 291.73 × 103.12
  4. Step 4: Simplify right side
    194.35x = 30,083.75
  5. Step 5: Solve for x
    x = 30,083.75/194.35
  6. Step 6: Final answer
    x = 154.79

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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.