Finding the Fourth Proportional to 305.40, 458.09 and 122.75
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Solution
The fourth proportional to 305.40, 458.09 and 122.75 is: 184.12
Step by Step Solution
- Step 1: Write the proportion equation
305.40 : 458.09 = 122.75 : x - Step 2: Convert to fraction form
305.40/458.09 = 122.75/x - Step 3: Cross multiply
305.40x = 458.09 × 122.75 - Step 4: Simplify right side
305.40x = 56,230.55 - Step 5: Solve for x
x = 56,230.55/305.40 - Step 6: Final answer
x = 184.12
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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.