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Finding the Fourth Proportional to 262.38, 395.09 and 194.38

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Solution

The fourth proportional to 262.38, 395.09 and 194.38 is: 292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.38 : 395.09 = 194.38 : x
  2. Step 2: Convert to fraction form
    262.38/395.09 = 194.38/x
  3. Step 3: Cross multiply
    262.38x = 395.09 × 194.38
  4. Step 4: Simplify right side
    262.38x = 76,799.07
  5. Step 5: Solve for x
    x = 76,799.07/262.38
  6. Step 6: Final answer
    x = 292.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.