Finding the Fourth Proportional to 369.14, 509.41 and 201.09
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Solution
The fourth proportional to 369.14, 509.41 and 201.09 is: 277.50
Step by Step Solution
- Step 1: Write the proportion equation
369.14 : 509.41 = 201.09 : x - Step 2: Convert to fraction form
369.14/509.41 = 201.09/x - Step 3: Cross multiply
369.14x = 509.41 × 201.09 - Step 4: Simplify right side
369.14x = 102,437.26 - Step 5: Solve for x
x = 102,437.26/369.14 - Step 6: Final answer
x = 277.50
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.