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Finding the Fourth Proportional to 298.17, 413.57 and 287.24

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Solution

The fourth proportional to 298.17, 413.57 and 287.24 is: 398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.17 : 413.57 = 287.24 : x
  2. Step 2: Convert to fraction form
    298.17/413.57 = 287.24/x
  3. Step 3: Cross multiply
    298.17x = 413.57 × 287.24
  4. Step 4: Simplify right side
    298.17x = 118,792.50
  5. Step 5: Solve for x
    x = 118,792.50/298.17
  6. Step 6: Final answer
    x = 398.41

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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.