Finding the Fourth Proportional to 203.64, 305.70 and 122.52
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Solution
The fourth proportional to 203.64, 305.70 and 122.52 is: 183.92
Step by Step Solution
- Step 1: Write the proportion equation
203.64 : 305.70 = 122.52 : x - Step 2: Convert to fraction form
203.64/305.70 = 122.52/x - Step 3: Cross multiply
203.64x = 305.70 × 122.52 - Step 4: Simplify right side
203.64x = 37,454.36 - Step 5: Solve for x
x = 37,454.36/203.64 - Step 6: Final answer
x = 183.92
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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.