Finding the Fourth Proportional to 299.28, 449.04 and 171
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Solution
The fourth proportional to 299.28, 449.04 and 171 is: 256.57
Step by Step Solution
- Step 1: Write the proportion equation
299.28 : 449.04 = 171 : x - Step 2: Convert to fraction form
299.28/449.04 = 171/x - Step 3: Cross multiply
299.28x = 449.04 × 171 - Step 4: Simplify right side
299.28x = 76,785.84 - Step 5: Solve for x
x = 76,785.84/299.28 - Step 6: Final answer
x = 256.57
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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.