Finding the Fourth Proportional to 367.70, 507.44 and 201.92
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Solution
The fourth proportional to 367.70, 507.44 and 201.92 is: 278.66
Step by Step Solution
- Step 1: Write the proportion equation
367.70 : 507.44 = 201.92 : x - Step 2: Convert to fraction form
367.70/507.44 = 201.92/x - Step 3: Cross multiply
367.70x = 507.44 × 201.92 - Step 4: Simplify right side
367.70x = 102,460.25 - Step 5: Solve for x
x = 102,460.25/367.70 - Step 6: Final answer
x = 278.66
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.