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Finding the Fourth Proportional to 382.77, 528.41 and 299.73

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Solution

The fourth proportional to 382.77, 528.41 and 299.73 is: 413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.77 : 528.41 = 299.73 : x
  2. Step 2: Convert to fraction form
    382.77/528.41 = 299.73/x
  3. Step 3: Cross multiply
    382.77x = 528.41 × 299.73
  4. Step 4: Simplify right side
    382.77x = 158,378.83
  5. Step 5: Solve for x
    x = 158,378.83/382.77
  6. Step 6: Final answer
    x = 413.77

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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.