Finding the Fourth Proportional to 280.78, 420.99 and 126.68
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Solution
The fourth proportional to 280.78, 420.99 and 126.68 is: 189.94
Step by Step Solution
- Step 1: Write the proportion equation
280.78 : 420.99 = 126.68 : x - Step 2: Convert to fraction form
280.78/420.99 = 126.68/x - Step 3: Cross multiply
280.78x = 420.99 × 126.68 - Step 4: Simplify right side
280.78x = 53,331.01 - Step 5: Solve for x
x = 53,331.01/280.78 - Step 6: Final answer
x = 189.94
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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.