Finding the Fourth Proportional to 314.72, 471.99 and 198.99
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Solution
The fourth proportional to 314.72, 471.99 and 198.99 is: 298.43
Step by Step Solution
- Step 1: Write the proportion equation
314.72 : 471.99 = 198.99 : x - Step 2: Convert to fraction form
314.72/471.99 = 198.99/x - Step 3: Cross multiply
314.72x = 471.99 × 198.99 - Step 4: Simplify right side
314.72x = 93,922.04 - Step 5: Solve for x
x = 93,922.04/314.72 - Step 6: Final answer
x = 298.43
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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.