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Finding the Fourth Proportional to 276.09, 413.91 and 139.02

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Solution

The fourth proportional to 276.09, 413.91 and 139.02 is: 208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.09 : 413.91 = 139.02 : x
  2. Step 2: Convert to fraction form
    276.09/413.91 = 139.02/x
  3. Step 3: Cross multiply
    276.09x = 413.91 × 139.02
  4. Step 4: Simplify right side
    276.09x = 57,541.77
  5. Step 5: Solve for x
    x = 57,541.77/276.09
  6. Step 6: Final answer
    x = 208.42

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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.