Finding the Fourth Proportional to 206.25, 284.13 and 157.08
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Solution
The fourth proportional to 206.25, 284.13 and 157.08 is: 216.39
Step by Step Solution
- Step 1: Write the proportion equation
206.25 : 284.13 = 157.08 : x - Step 2: Convert to fraction form
206.25/284.13 = 157.08/x - Step 3: Cross multiply
206.25x = 284.13 × 157.08 - Step 4: Simplify right side
206.25x = 44,631.14 - Step 5: Solve for x
x = 44,631.14/206.25 - Step 6: Final answer
x = 216.39
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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.