Finding the Fourth Proportional to 202.21, 302.84 and 189.52
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Solution
The fourth proportional to 202.21, 302.84 and 189.52 is: 283.83
Step by Step Solution
- Step 1: Write the proportion equation
202.21 : 302.84 = 189.52 : x - Step 2: Convert to fraction form
202.21/302.84 = 189.52/x - Step 3: Cross multiply
202.21x = 302.84 × 189.52 - Step 4: Simplify right side
202.21x = 57,393.24 - Step 5: Solve for x
x = 57,393.24/202.21 - Step 6: Final answer
x = 283.83
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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.