Finding the Fourth Proportional to 204.23, 305.87 and 122.91
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Solution
The fourth proportional to 204.23, 305.87 and 122.91 is: 184.08
Step by Step Solution
- Step 1: Write the proportion equation
204.23 : 305.87 = 122.91 : x - Step 2: Convert to fraction form
204.23/305.87 = 122.91/x - Step 3: Cross multiply
204.23x = 305.87 × 122.91 - Step 4: Simplify right side
204.23x = 37,594.48 - Step 5: Solve for x
x = 37,594.48/204.23 - Step 6: Final answer
x = 184.08
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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.