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Finding the Fourth Proportional to 276.62, 413.30 and 271.52

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Solution

The fourth proportional to 276.62, 413.30 and 271.52 is: 405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.62 : 413.30 = 271.52 : x
  2. Step 2: Convert to fraction form
    276.62/413.30 = 271.52/x
  3. Step 3: Cross multiply
    276.62x = 413.30 × 271.52
  4. Step 4: Simplify right side
    276.62x = 112,219.22
  5. Step 5: Solve for x
    x = 112,219.22/276.62
  6. Step 6: Final answer
    x = 405.68

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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.