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Finding the Fourth Proportional to 276.07, 413.70 and 121.86

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Solution

The fourth proportional to 276.07, 413.70 and 121.86 is: 182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.07 : 413.70 = 121.86 : x
  2. Step 2: Convert to fraction form
    276.07/413.70 = 121.86/x
  3. Step 3: Cross multiply
    276.07x = 413.70 × 121.86
  4. Step 4: Simplify right side
    276.07x = 50,413.48
  5. Step 5: Solve for x
    x = 50,413.48/276.07
  6. Step 6: Final answer
    x = 182.61

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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.