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Finding the Fourth Proportional to 276.13, 413.72 and 138.99

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Solution

The fourth proportional to 276.13, 413.72 and 138.99 is: 208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.13 : 413.72 = 138.99 : x
  2. Step 2: Convert to fraction form
    276.13/413.72 = 138.99/x
  3. Step 3: Cross multiply
    276.13x = 413.72 × 138.99
  4. Step 4: Simplify right side
    276.13x = 57,502.94
  5. Step 5: Solve for x
    x = 57,502.94/276.13
  6. Step 6: Final answer
    x = 208.25

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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.