Finding the Fourth Proportional to 296.84, 445.08 and 114.14
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Solution
The fourth proportional to 296.84, 445.08 and 114.14 is: 171.14
Step by Step Solution
- Step 1: Write the proportion equation
296.84 : 445.08 = 114.14 : x - Step 2: Convert to fraction form
296.84/445.08 = 114.14/x - Step 3: Cross multiply
296.84x = 445.08 × 114.14 - Step 4: Simplify right side
296.84x = 50,799.21 - Step 5: Solve for x
x = 50,799.21/296.84 - Step 6: Final answer
x = 171.14
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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.