Finding the Fourth Proportional to 201.56, 302.14 and 147.70
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Solution
The fourth proportional to 201.56, 302.14 and 147.70 is: 221.40
Step by Step Solution
- Step 1: Write the proportion equation
201.56 : 302.14 = 147.70 : x - Step 2: Convert to fraction form
201.56/302.14 = 147.70/x - Step 3: Cross multiply
201.56x = 302.14 × 147.70 - Step 4: Simplify right side
201.56x = 44,626.08 - Step 5: Solve for x
x = 44,626.08/201.56 - Step 6: Final answer
x = 221.40
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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.