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Finding the Fourth Proportional to 276.84, 413.55 and 271.44

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Solution

The fourth proportional to 276.84, 413.55 and 271.44 is: 405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.84 : 413.55 = 271.44 : x
  2. Step 2: Convert to fraction form
    276.84/413.55 = 271.44/x
  3. Step 3: Cross multiply
    276.84x = 413.55 × 271.44
  4. Step 4: Simplify right side
    276.84x = 112,254.01
  5. Step 5: Solve for x
    x = 112,254.01/276.84
  6. Step 6: Final answer
    x = 405.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.