Finding the Fourth Proportional to 442.74, 663.99 and 199.14
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Solution
The fourth proportional to 442.74, 663.99 and 199.14 is: 298.66
Step by Step Solution
- Step 1: Write the proportion equation
442.74 : 663.99 = 199.14 : x - Step 2: Convert to fraction form
442.74/663.99 = 199.14/x - Step 3: Cross multiply
442.74x = 663.99 × 199.14 - Step 4: Simplify right side
442.74x = 132,226.97 - Step 5: Solve for x
x = 132,226.97/442.74 - Step 6: Final answer
x = 298.66
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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.