Finding the Fourth Proportional to 381.42, 571.86 and 162.05
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Solution
The fourth proportional to 381.42, 571.86 and 162.05 is: 242.95
Step by Step Solution
- Step 1: Write the proportion equation
381.42 : 571.86 = 162.05 : x - Step 2: Convert to fraction form
381.42/571.86 = 162.05/x - Step 3: Cross multiply
381.42x = 571.86 × 162.05 - Step 4: Simplify right side
381.42x = 92,667.05 - Step 5: Solve for x
x = 92,667.05/381.42 - Step 6: Final answer
x = 242.95
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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.