Finding the Fourth Proportional to 305.05, 457.62 and 122.44
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Solution
The fourth proportional to 305.05, 457.62 and 122.44 is: 183.68
Step by Step Solution
- Step 1: Write the proportion equation
305.05 : 457.62 = 122.44 : x - Step 2: Convert to fraction form
305.05/457.62 = 122.44/x - Step 3: Cross multiply
305.05x = 457.62 × 122.44 - Step 4: Simplify right side
305.05x = 56,030.99 - Step 5: Solve for x
x = 56,030.99/305.05 - Step 6: Final answer
x = 183.68
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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.