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Finding the Fourth Proportional to 194.94, 269.10 and 132.72

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Solution

The fourth proportional to 194.94, 269.10 and 132.72 is: 183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.94 : 269.10 = 132.72 : x
  2. Step 2: Convert to fraction form
    194.94/269.10 = 132.72/x
  3. Step 3: Cross multiply
    194.94x = 269.10 × 132.72
  4. Step 4: Simplify right side
    194.94x = 35,714.95
  5. Step 5: Solve for x
    x = 35,714.95/194.94
  6. Step 6: Final answer
    x = 183.21

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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.