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Finding the Fourth Proportional to 298.82, 413.12 and 285.91

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Solution

The fourth proportional to 298.82, 413.12 and 285.91 is: 395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.82 : 413.12 = 285.91 : x
  2. Step 2: Convert to fraction form
    298.82/413.12 = 285.91/x
  3. Step 3: Cross multiply
    298.82x = 413.12 × 285.91
  4. Step 4: Simplify right side
    298.82x = 118,114.82
  5. Step 5: Solve for x
    x = 118,114.82/298.82
  6. Step 6: Final answer
    x = 395.27

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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.