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Finding the Fourth Proportional to 298.54, 413.84 and 287.00

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Solution

The fourth proportional to 298.54, 413.84 and 287.00 is: 397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.54 : 413.84 = 287.00 : x
  2. Step 2: Convert to fraction form
    298.54/413.84 = 287.00/x
  3. Step 3: Cross multiply
    298.54x = 413.84 × 287.00
  4. Step 4: Simplify right side
    298.54x = 118,770.01
  5. Step 5: Solve for x
    x = 118,770.01/298.54
  6. Step 6: Final answer
    x = 397.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.