Finding the Fourth Proportional to 202.70, 284.50 and 202.70
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Solution
The fourth proportional to 202.70, 284.50 and 202.70 is: 284.50
Step by Step Solution
- Step 1: Write the proportion equation
202.70 : 284.50 = 202.70 : x - Step 2: Convert to fraction form
202.70/284.50 = 202.70/x - Step 3: Cross multiply
202.70x = 284.50 × 202.70 - Step 4: Simplify right side
202.70x = 57,668.15 - Step 5: Solve for x
x = 57,668.15/202.70 - Step 6: Final answer
x = 284.50
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.