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Finding the Fourth Proportional to 276.15, 413.69 and 264.27

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Solution

The fourth proportional to 276.15, 413.69 and 264.27 is: 395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.15 : 413.69 = 264.27 : x
  2. Step 2: Convert to fraction form
    276.15/413.69 = 264.27/x
  3. Step 3: Cross multiply
    276.15x = 413.69 × 264.27
  4. Step 4: Simplify right side
    276.15x = 109,324.53
  5. Step 5: Solve for x
    x = 109,324.53/276.15
  6. Step 6: Final answer
    x = 395.89

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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.