Finding the Fourth Proportional to 413.97, 621.08 and 197.70
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Solution
The fourth proportional to 413.97, 621.08 and 197.70 is: 296.61
Step by Step Solution
- Step 1: Write the proportion equation
413.97 : 621.08 = 197.70 : x - Step 2: Convert to fraction form
413.97/621.08 = 197.70/x - Step 3: Cross multiply
413.97x = 621.08 × 197.70 - Step 4: Simplify right side
413.97x = 122,787.52 - Step 5: Solve for x
x = 122,787.52/413.97 - Step 6: Final answer
x = 296.61
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.