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Finding the Fourth Proportional to 194.94, 269.10 and 136.80

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Solution

The fourth proportional to 194.94, 269.10 and 136.80 is: 188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.94 : 269.10 = 136.80 : x
  2. Step 2: Convert to fraction form
    194.94/269.10 = 136.80/x
  3. Step 3: Cross multiply
    194.94x = 269.10 × 136.80
  4. Step 4: Simplify right side
    194.94x = 36,812.88
  5. Step 5: Solve for x
    x = 36,812.88/194.94
  6. Step 6: Final answer
    x = 188.84

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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.