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Finding the Fourth Proportional to 194.36, 268.19 and 107.03

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Solution

The fourth proportional to 194.36, 268.19 and 107.03 is: 147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.36 : 268.19 = 107.03 : x
  2. Step 2: Convert to fraction form
    194.36/268.19 = 107.03/x
  3. Step 3: Cross multiply
    194.36x = 268.19 × 107.03
  4. Step 4: Simplify right side
    194.36x = 28,702.50
  5. Step 5: Solve for x
    x = 28,702.50/194.36
  6. Step 6: Final answer
    x = 147.68

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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.