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Finding the Fourth Proportional to 300.32, 413.84 and 208.16

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Solution

The fourth proportional to 300.32, 413.84 and 208.16 is: 286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.32 : 413.84 = 208.16 : x
  2. Step 2: Convert to fraction form
    300.32/413.84 = 208.16/x
  3. Step 3: Cross multiply
    300.32x = 413.84 × 208.16
  4. Step 4: Simplify right side
    300.32x = 86,144.93
  5. Step 5: Solve for x
    x = 86,144.93/300.32
  6. Step 6: Final answer
    x = 286.84

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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.