Finding the Fourth Proportional to 305.08, 420.99 and 180.75
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Solution
The fourth proportional to 305.08, 420.99 and 180.75 is: 249.42
Step by Step Solution
- Step 1: Write the proportion equation
305.08 : 420.99 = 180.75 : x - Step 2: Convert to fraction form
305.08/420.99 = 180.75/x - Step 3: Cross multiply
305.08x = 420.99 × 180.75 - Step 4: Simplify right side
305.08x = 76,093.94 - Step 5: Solve for x
x = 76,093.94/305.08 - Step 6: Final answer
x = 249.42
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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.