Finding the Fourth Proportional to 361.24, 542.19 and 198.70
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Solution
The fourth proportional to 361.24, 542.19 and 198.70 is: 298.23
Step by Step Solution
- Step 1: Write the proportion equation
361.24 : 542.19 = 198.70 : x - Step 2: Convert to fraction form
361.24/542.19 = 198.70/x - Step 3: Cross multiply
361.24x = 542.19 × 198.70 - Step 4: Simplify right side
361.24x = 107,730.44 - Step 5: Solve for x
x = 107,730.44/361.24 - Step 6: Final answer
x = 298.23
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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.