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Finding the Fourth Proportional to 352.77, 485.71 and 300.21

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Solution

The fourth proportional to 352.77, 485.71 and 300.21 is: 413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.77 : 485.71 = 300.21 : x
  2. Step 2: Convert to fraction form
    352.77/485.71 = 300.21/x
  3. Step 3: Cross multiply
    352.77x = 485.71 × 300.21
  4. Step 4: Simplify right side
    352.77x = 145,815.00
  5. Step 5: Solve for x
    x = 145,815.00/352.77
  6. Step 6: Final answer
    x = 413.34

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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.