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Finding the Fourth Proportional to 194.52, 268.43 and 107.19

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Solution

The fourth proportional to 194.52, 268.43 and 107.19 is: 147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.52 : 268.43 = 107.19 : x
  2. Step 2: Convert to fraction form
    194.52/268.43 = 107.19/x
  3. Step 3: Cross multiply
    194.52x = 268.43 × 107.19
  4. Step 4: Simplify right side
    194.52x = 28,773.01
  5. Step 5: Solve for x
    x = 28,773.01/194.52
  6. Step 6: Final answer
    x = 147.92

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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.