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Finding the Fourth Proportional to 194.90, 269.02 and 112.02

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Solution

The fourth proportional to 194.90, 269.02 and 112.02 is: 154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.90 : 269.02 = 112.02 : x
  2. Step 2: Convert to fraction form
    194.90/269.02 = 112.02/x
  3. Step 3: Cross multiply
    194.90x = 269.02 × 112.02
  4. Step 4: Simplify right side
    194.90x = 30,133.72
  5. Step 5: Solve for x
    x = 30,133.72/194.90
  6. Step 6: Final answer
    x = 154.61

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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.