Finding the Fourth Proportional to 205.84, 283.99 and 122.98
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Solution
The fourth proportional to 205.84, 283.99 and 122.98 is: 169.67
Step by Step Solution
- Step 1: Write the proportion equation
205.84 : 283.99 = 122.98 : x - Step 2: Convert to fraction form
205.84/283.99 = 122.98/x - Step 3: Cross multiply
205.84x = 283.99 × 122.98 - Step 4: Simplify right side
205.84x = 34,925.09 - Step 5: Solve for x
x = 34,925.09/205.84 - Step 6: Final answer
x = 169.67
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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.