Finding the Fourth Proportional to 202.28, 302.70 and 110.81
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Solution
The fourth proportional to 202.28, 302.70 and 110.81 is: 165.82
Step by Step Solution
- Step 1: Write the proportion equation
202.28 : 302.70 = 110.81 : x - Step 2: Convert to fraction form
202.28/302.70 = 110.81/x - Step 3: Cross multiply
202.28x = 302.70 × 110.81 - Step 4: Simplify right side
202.28x = 33,542.19 - Step 5: Solve for x
x = 33,542.19/202.28 - Step 6: Final answer
x = 165.82
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.