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Finding the Fourth Proportional to 550.41, 825.42 and 275.67

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Solution

The fourth proportional to 550.41, 825.42 and 275.67 is: 413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.41 : 825.42 = 275.67 : x
  2. Step 2: Convert to fraction form
    550.41/825.42 = 275.67/x
  3. Step 3: Cross multiply
    550.41x = 825.42 × 275.67
  4. Step 4: Simplify right side
    550.41x = 227,543.53
  5. Step 5: Solve for x
    x = 227,543.53/550.41
  6. Step 6: Final answer
    x = 413.41

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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.