Finding the Fourth Proportional to 199.23, 274.84 and 133.75
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Solution
The fourth proportional to 199.23, 274.84 and 133.75 is: 184.52
Step by Step Solution
- Step 1: Write the proportion equation
199.23 : 274.84 = 133.75 : x - Step 2: Convert to fraction form
199.23/274.84 = 133.75/x - Step 3: Cross multiply
199.23x = 274.84 × 133.75 - Step 4: Simplify right side
199.23x = 36,760.36 - Step 5: Solve for x
x = 36,760.36/199.23 - Step 6: Final answer
x = 184.52
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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.