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Finding the Fourth Proportional to 287.74, 396.87 and 194.44

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Solution

The fourth proportional to 287.74, 396.87 and 194.44 is: 268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.74 : 396.87 = 194.44 : x
  2. Step 2: Convert to fraction form
    287.74/396.87 = 194.44/x
  3. Step 3: Cross multiply
    287.74x = 396.87 × 194.44
  4. Step 4: Simplify right side
    287.74x = 77,167.40
  5. Step 5: Solve for x
    x = 77,167.40/287.74
  6. Step 6: Final answer
    x = 268.18

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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.