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Finding the Fourth Proportional to 298.04, 413.15 and 286.49

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Solution

The fourth proportional to 298.04, 413.15 and 286.49 is: 397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.04 : 413.15 = 286.49 : x
  2. Step 2: Convert to fraction form
    298.04/413.15 = 286.49/x
  3. Step 3: Cross multiply
    298.04x = 413.15 × 286.49
  4. Step 4: Simplify right side
    298.04x = 118,362.94
  5. Step 5: Solve for x
    x = 118,362.94/298.04
  6. Step 6: Final answer
    x = 397.14

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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.