Finding the Fourth Proportional to 381.15, 572.09 and 198.68
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Solution
The fourth proportional to 381.15, 572.09 and 198.68 is: 298.20
Step by Step Solution
- Step 1: Write the proportion equation
381.15 : 572.09 = 198.68 : x - Step 2: Convert to fraction form
381.15/572.09 = 198.68/x - Step 3: Cross multiply
381.15x = 572.09 × 198.68 - Step 4: Simplify right side
381.15x = 113,658.99 - Step 5: Solve for x
x = 113,658.99/381.15 - Step 6: Final answer
x = 298.20
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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.