Finding the Fourth Proportional to 381.73, 572.63 and 107.84
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Solution
The fourth proportional to 381.73, 572.63 and 107.84 is: 161.77
Step by Step Solution
- Step 1: Write the proportion equation
381.73 : 572.63 = 107.84 : x - Step 2: Convert to fraction form
381.73/572.63 = 107.84/x - Step 3: Cross multiply
381.73x = 572.63 × 107.84 - Step 4: Simplify right side
381.73x = 61,754.19 - Step 5: Solve for x
x = 61,754.19/381.73 - Step 6: Final answer
x = 161.77
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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.