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Finding the Fourth Proportional to 298.22, 413.20 and 291.74

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Solution

The fourth proportional to 298.22, 413.20 and 291.74 is: 404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.22 : 413.20 = 291.74 : x
  2. Step 2: Convert to fraction form
    298.22/413.20 = 291.74/x
  3. Step 3: Cross multiply
    298.22x = 413.20 × 291.74
  4. Step 4: Simplify right side
    298.22x = 120,545.27
  5. Step 5: Solve for x
    x = 120,545.27/298.22
  6. Step 6: Final answer
    x = 404.22

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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.