Finding the Fourth Proportional to 297.29, 445.97 and 114.68
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Solution
The fourth proportional to 297.29, 445.97 and 114.68 is: 172.04
Step by Step Solution
- Step 1: Write the proportion equation
297.29 : 445.97 = 114.68 : x - Step 2: Convert to fraction form
297.29/445.97 = 114.68/x - Step 3: Cross multiply
297.29x = 445.97 × 114.68 - Step 4: Simplify right side
297.29x = 51,145.24 - Step 5: Solve for x
x = 51,145.24/297.29 - Step 6: Final answer
x = 172.04
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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.