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Finding the Fourth Proportional to 300.06, 413.28 and 212.58

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Solution

The fourth proportional to 300.06, 413.28 and 212.58 is: 292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.06 : 413.28 = 212.58 : x
  2. Step 2: Convert to fraction form
    300.06/413.28 = 212.58/x
  3. Step 3: Cross multiply
    300.06x = 413.28 × 212.58
  4. Step 4: Simplify right side
    300.06x = 87,855.06
  5. Step 5: Solve for x
    x = 87,855.06/300.06
  6. Step 6: Final answer
    x = 292.79

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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.