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Finding the Fourth Proportional to 269.22, 371.52 and 194.57

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Solution

The fourth proportional to 269.22, 371.52 and 194.57 is: 268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.22 : 371.52 = 194.57 : x
  2. Step 2: Convert to fraction form
    269.22/371.52 = 194.57/x
  3. Step 3: Cross multiply
    269.22x = 371.52 × 194.57
  4. Step 4: Simplify right side
    269.22x = 72,284.79
  5. Step 5: Solve for x
    x = 72,284.79/269.22
  6. Step 6: Final answer
    x = 268.50

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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.