Finding the Fourth Proportional to 546.36, 819.27 and 199.62
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Solution
The fourth proportional to 546.36, 819.27 and 199.62 is: 299.33
Step by Step Solution
- Step 1: Write the proportion equation
546.36 : 819.27 = 199.62 : x - Step 2: Convert to fraction form
546.36/819.27 = 199.62/x - Step 3: Cross multiply
546.36x = 819.27 × 199.62 - Step 4: Simplify right side
546.36x = 163,542.68 - Step 5: Solve for x
x = 163,542.68/546.36 - Step 6: Final answer
x = 299.33
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.