Finding the Fourth Proportional to 202.23, 302.91 and 121.02
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Solution
The fourth proportional to 202.23, 302.91 and 121.02 is: 181.27
Step by Step Solution
- Step 1: Write the proportion equation
202.23 : 302.91 = 121.02 : x - Step 2: Convert to fraction form
202.23/302.91 = 121.02/x - Step 3: Cross multiply
202.23x = 302.91 × 121.02 - Step 4: Simplify right side
202.23x = 36,658.17 - Step 5: Solve for x
x = 36,658.17/202.23 - Step 6: Final answer
x = 181.27
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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.