Finding the Fourth Proportional to 206.49, 284.98 and 117.99
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Solution
The fourth proportional to 206.49, 284.98 and 117.99 is: 162.85
Step by Step Solution
- Step 1: Write the proportion equation
206.49 : 284.98 = 117.99 : x - Step 2: Convert to fraction form
206.49/284.98 = 117.99/x - Step 3: Cross multiply
206.49x = 284.98 × 117.99 - Step 4: Simplify right side
206.49x = 33,626.08 - Step 5: Solve for x
x = 33,626.08/206.49 - Step 6: Final answer
x = 162.85
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.