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Finding the Fourth Proportional to 300.50, 413.78 and 263.46

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Solution

The fourth proportional to 300.50, 413.78 and 263.46 is: 362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.50 : 413.78 = 263.46 : x
  2. Step 2: Convert to fraction form
    300.50/413.78 = 263.46/x
  3. Step 3: Cross multiply
    300.50x = 413.78 × 263.46
  4. Step 4: Simplify right side
    300.50x = 109,014.48
  5. Step 5: Solve for x
    x = 109,014.48/300.50
  6. Step 6: Final answer
    x = 362.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.