Finding the Fourth Proportional to 133.26, 199.74 and 47.70
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Solution
The fourth proportional to 133.26, 199.74 and 47.70 is: 71.50
Step by Step Solution
- Step 1: Write the proportion equation
133.26 : 199.74 = 47.70 : x - Step 2: Convert to fraction form
133.26/199.74 = 47.70/x - Step 3: Cross multiply
133.26x = 199.74 × 47.70 - Step 4: Simplify right side
133.26x = 9,527.60 - Step 5: Solve for x
x = 9,527.60/133.26 - Step 6: Final answer
x = 71.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.