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Finding the Fourth Proportional to 413.20, 620.00 and 194.00

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Solution

The fourth proportional to 413.20, 620.00 and 194.00 is: 291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.20 : 620.00 = 194.00 : x
  2. Step 2: Convert to fraction form
    413.20/620.00 = 194.00/x
  3. Step 3: Cross multiply
    413.20x = 620.00 × 194.00
  4. Step 4: Simplify right side
    413.20x = 120,277.75
  5. Step 5: Solve for x
    x = 120,277.75/413.20
  6. Step 6: Final answer
    x = 291.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.