Finding the Fourth Proportional to 413.84, 619.97 and 230.68
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Solution
The fourth proportional to 413.84, 619.97 and 230.68 is: 345.57
Step by Step Solution
- Step 1: Write the proportion equation
413.84 : 619.97 = 230.68 : x - Step 2: Convert to fraction form
413.84/619.97 = 230.68/x - Step 3: Cross multiply
413.84x = 619.97 × 230.68 - Step 4: Simplify right side
413.84x = 143,011.98 - Step 5: Solve for x
x = 143,011.98/413.84 - Step 6: Final answer
x = 345.57
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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.