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Finding the Fourth Proportional to 299.59, 413.00 and 212.11

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Solution

The fourth proportional to 299.59, 413.00 and 212.11 is: 292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.59 : 413.00 = 212.11 : x
  2. Step 2: Convert to fraction form
    299.59/413.00 = 212.11/x
  3. Step 3: Cross multiply
    299.59x = 413.00 × 212.11
  4. Step 4: Simplify right side
    299.59x = 87,599.34
  5. Step 5: Solve for x
    x = 87,599.34/299.59
  6. Step 6: Final answer
    x = 292.40

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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.