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Finding the Fourth Proportional to 450.23, 674.26 and 276.41

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Solution

The fourth proportional to 450.23, 674.26 and 276.41 is: 413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.23 : 674.26 = 276.41 : x
  2. Step 2: Convert to fraction form
    450.23/674.26 = 276.41/x
  3. Step 3: Cross multiply
    450.23x = 674.26 × 276.41
  4. Step 4: Simplify right side
    450.23x = 186,373.20
  5. Step 5: Solve for x
    x = 186,373.20/450.23
  6. Step 6: Final answer
    x = 413.96

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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.