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Finding the Fourth Proportional to 298.25, 411.59 and 194.75

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Solution

The fourth proportional to 298.25, 411.59 and 194.75 is: 268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.25 : 411.59 = 194.75 : x
  2. Step 2: Convert to fraction form
    298.25/411.59 = 194.75/x
  3. Step 3: Cross multiply
    298.25x = 411.59 × 194.75
  4. Step 4: Simplify right side
    298.25x = 80,156.18
  5. Step 5: Solve for x
    x = 80,156.18/298.25
  6. Step 6: Final answer
    x = 268.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.