Finding the Fourth Proportional to 378.69, 566.70 and 280.99
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Solution
The fourth proportional to 378.69, 566.70 and 280.99 is: 420.49
Step by Step Solution
- Step 1: Write the proportion equation
378.69 : 566.70 = 280.99 : x - Step 2: Convert to fraction form
378.69/566.70 = 280.99/x - Step 3: Cross multiply
378.69x = 566.70 × 280.99 - Step 4: Simplify right side
378.69x = 159,237.03 - Step 5: Solve for x
x = 159,237.03/378.69 - Step 6: Final answer
x = 420.49
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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.