Finding the Fourth Proportional to 378.74, 523.05 and 301.70
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Solution
The fourth proportional to 378.74, 523.05 and 301.70 is: 416.66
Step by Step Solution
- Step 1: Write the proportion equation
378.74 : 523.05 = 301.70 : x - Step 2: Convert to fraction form
378.74/523.05 = 301.70/x - Step 3: Cross multiply
378.74x = 523.05 × 301.70 - Step 4: Simplify right side
378.74x = 157,804.19 - Step 5: Solve for x
x = 157,804.19/378.74 - Step 6: Final answer
x = 416.66
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.