Finding the Fourth Proportional to 283.74, 391.51 and 157.69
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Solution
The fourth proportional to 283.74, 391.51 and 157.69 is: 217.59
Step by Step Solution
- Step 1: Write the proportion equation
283.74 : 391.51 = 157.69 : x - Step 2: Convert to fraction form
283.74/391.51 = 157.69/x - Step 3: Cross multiply
283.74x = 391.51 × 157.69 - Step 4: Simplify right side
283.74x = 61,738.18 - Step 5: Solve for x
x = 61,738.18/283.74 - Step 6: Final answer
x = 217.59
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.