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Finding the Fourth Proportional to 369.82, 552.63 and 276.67

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Solution

The fourth proportional to 369.82, 552.63 and 276.67 is: 413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.82 : 552.63 = 276.67 : x
  2. Step 2: Convert to fraction form
    369.82/552.63 = 276.67/x
  3. Step 3: Cross multiply
    369.82x = 552.63 × 276.67
  4. Step 4: Simplify right side
    369.82x = 152,896.14
  5. Step 5: Solve for x
    x = 152,896.14/369.82
  6. Step 6: Final answer
    x = 413.43

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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.