Finding the Fourth Proportional to 297.74, 446.57 and 115.19
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Solution
The fourth proportional to 297.74, 446.57 and 115.19 is: 172.77
Step by Step Solution
- Step 1: Write the proportion equation
297.74 : 446.57 = 115.19 : x - Step 2: Convert to fraction form
297.74/446.57 = 115.19/x - Step 3: Cross multiply
297.74x = 446.57 × 115.19 - Step 4: Simplify right side
297.74x = 51,439.70 - Step 5: Solve for x
x = 51,439.70/297.74 - Step 6: Final answer
x = 172.77
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.