Finding the Fourth Proportional to 299.94, 413.99 and 189.42
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Solution
The fourth proportional to 299.94, 413.99 and 189.42 is: 261.45
Step by Step Solution
- Step 1: Write the proportion equation
299.94 : 413.99 = 189.42 : x - Step 2: Convert to fraction form
299.94/413.99 = 189.42/x - Step 3: Cross multiply
299.94x = 413.99 × 189.42 - Step 4: Simplify right side
299.94x = 78,417.99 - Step 5: Solve for x
x = 78,417.99/299.94 - Step 6: Final answer
x = 261.45
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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.