Finding the Fourth Proportional to 202.97, 280.36 and 147.08
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Solution
The fourth proportional to 202.97, 280.36 and 147.08 is: 203.16
Step by Step Solution
- Step 1: Write the proportion equation
202.97 : 280.36 = 147.08 : x - Step 2: Convert to fraction form
202.97/280.36 = 147.08/x - Step 3: Cross multiply
202.97x = 280.36 × 147.08 - Step 4: Simplify right side
202.97x = 41,236.23 - Step 5: Solve for x
x = 41,236.23/202.97 - Step 6: Final answer
x = 203.16
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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.