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Finding the Fourth Proportional to 299.68, 413.64 and 212.20

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Solution

The fourth proportional to 299.68, 413.64 and 212.20 is: 292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.68 : 413.64 = 212.20 : x
  2. Step 2: Convert to fraction form
    299.68/413.64 = 212.20/x
  3. Step 3: Cross multiply
    299.68x = 413.64 × 212.20
  4. Step 4: Simplify right side
    299.68x = 87,774.41
  5. Step 5: Solve for x
    x = 87,774.41/299.68
  6. Step 6: Final answer
    x = 292.89

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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.