Finding the Fourth Proportional to 428.14, 642.26 and 197.08
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Solution
The fourth proportional to 428.14, 642.26 and 197.08 is: 295.64
Step by Step Solution
- Step 1: Write the proportion equation
428.14 : 642.26 = 197.08 : x - Step 2: Convert to fraction form
428.14/642.26 = 197.08/x - Step 3: Cross multiply
428.14x = 642.26 × 197.08 - Step 4: Simplify right side
428.14x = 126,576.60 - Step 5: Solve for x
x = 126,576.60/428.14 - Step 6: Final answer
x = 295.64
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.