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Finding the Fourth Proportional to 299.62, 413.62 and 239.71

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Solution

The fourth proportional to 299.62, 413.62 and 239.71 is: 330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.62 : 413.62 = 239.71 : x
  2. Step 2: Convert to fraction form
    299.62/413.62 = 239.71/x
  3. Step 3: Cross multiply
    299.62x = 413.62 × 239.71
  4. Step 4: Simplify right side
    299.62x = 99,145.58
  5. Step 5: Solve for x
    x = 99,145.58/299.62
  6. Step 6: Final answer
    x = 330.90

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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.