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Finding the Fourth Proportional to 276.45, 413.70 and 189.37

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Solution

The fourth proportional to 276.45, 413.70 and 189.37 is: 283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.45 : 413.70 = 189.37 : x
  2. Step 2: Convert to fraction form
    276.45/413.70 = 189.37/x
  3. Step 3: Cross multiply
    276.45x = 413.70 × 189.37
  4. Step 4: Simplify right side
    276.45x = 78,342.37
  5. Step 5: Solve for x
    x = 78,342.37/276.45
  6. Step 6: Final answer
    x = 283.39

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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.