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Finding the Fourth Proportional to 276.41, 413.93 and 194.87

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Solution

The fourth proportional to 276.41, 413.93 and 194.87 is: 291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.41 : 413.93 = 194.87 : x
  2. Step 2: Convert to fraction form
    276.41/413.93 = 194.87/x
  3. Step 3: Cross multiply
    276.41x = 413.93 × 194.87
  4. Step 4: Simplify right side
    276.41x = 80,660.96
  5. Step 5: Solve for x
    x = 80,660.96/276.41
  6. Step 6: Final answer
    x = 291.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.