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Finding the Fourth Proportional to 413.40, 620.42 and 197.13

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Solution

The fourth proportional to 413.40, 620.42 and 197.13 is: 295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.40 : 620.42 = 197.13 : x
  2. Step 2: Convert to fraction form
    413.40/620.42 = 197.13/x
  3. Step 3: Cross multiply
    413.40x = 620.42 × 197.13
  4. Step 4: Simplify right side
    413.40x = 122,302.41
  5. Step 5: Solve for x
    x = 122,302.41/413.40
  6. Step 6: Final answer
    x = 295.85

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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.