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Finding the Fourth Proportional to 194.94, 269.06 and 121.37

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Solution

The fourth proportional to 194.94, 269.06 and 121.37 is: 167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.94 : 269.06 = 121.37 : x
  2. Step 2: Convert to fraction form
    194.94/269.06 = 121.37/x
  3. Step 3: Cross multiply
    194.94x = 269.06 × 121.37
  4. Step 4: Simplify right side
    194.94x = 32,653.86
  5. Step 5: Solve for x
    x = 32,653.86/194.94
  6. Step 6: Final answer
    x = 167.51

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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.