Finding the Fourth Proportional to 202.97, 280.75 and 189.91
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Solution
The fourth proportional to 202.97, 280.75 and 189.91 is: 262.69
Step by Step Solution
- Step 1: Write the proportion equation
202.97 : 280.75 = 189.91 : x - Step 2: Convert to fraction form
202.97/280.75 = 189.91/x - Step 3: Cross multiply
202.97x = 280.75 × 189.91 - Step 4: Simplify right side
202.97x = 53,317.23 - Step 5: Solve for x
x = 53,317.23/202.97 - Step 6: Final answer
x = 262.69
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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.