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Finding the Fourth Proportional to 298.35, 413.60 and 281.93

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Solution

The fourth proportional to 298.35, 413.60 and 281.93 is: 390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.35 : 413.60 = 281.93 : x
  2. Step 2: Convert to fraction form
    298.35/413.60 = 281.93/x
  3. Step 3: Cross multiply
    298.35x = 413.60 × 281.93
  4. Step 4: Simplify right side
    298.35x = 116,602.77
  5. Step 5: Solve for x
    x = 116,602.77/298.35
  6. Step 6: Final answer
    x = 390.83

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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.