Finding the Fourth Proportional to 202.14, 278.82 and 149.63
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Solution
The fourth proportional to 202.14, 278.82 and 149.63 is: 206.38
Step by Step Solution
- Step 1: Write the proportion equation
202.14 : 278.82 = 149.63 : x - Step 2: Convert to fraction form
202.14/278.82 = 149.63/x - Step 3: Cross multiply
202.14x = 278.82 × 149.63 - Step 4: Simplify right side
202.14x = 41,718.44 - Step 5: Solve for x
x = 41,718.44/202.14 - Step 6: Final answer
x = 206.38
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.