Finding the Fourth Proportional to 202.84, 302.84 and 170.44
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Solution
The fourth proportional to 202.84, 302.84 and 170.44 is: 254.47
Step by Step Solution
- Step 1: Write the proportion equation
202.84 : 302.84 = 170.44 : x - Step 2: Convert to fraction form
202.84/302.84 = 170.44/x - Step 3: Cross multiply
202.84x = 302.84 × 170.44 - Step 4: Simplify right side
202.84x = 51,616.05 - Step 5: Solve for x
x = 51,616.05/202.84 - Step 6: Final answer
x = 254.47
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.