Finding the Fourth Proportional to 283.62, 390.99 and 209.94
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Solution
The fourth proportional to 283.62, 390.99 and 209.94 is: 289.42
Step by Step Solution
- Step 1: Write the proportion equation
283.62 : 390.99 = 209.94 : x - Step 2: Convert to fraction form
283.62/390.99 = 209.94/x - Step 3: Cross multiply
283.62x = 390.99 × 209.94 - Step 4: Simplify right side
283.62x = 82,084.44 - Step 5: Solve for x
x = 82,084.44/283.62 - Step 6: Final answer
x = 289.42
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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.