Finding the Fourth Proportional to 305.41, 457.84 and 122.68
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Solution
The fourth proportional to 305.41, 457.84 and 122.68 is: 183.91
Step by Step Solution
- Step 1: Write the proportion equation
305.41 : 457.84 = 122.68 : x - Step 2: Convert to fraction form
305.41/457.84 = 122.68/x - Step 3: Cross multiply
305.41x = 457.84 × 122.68 - Step 4: Simplify right side
305.41x = 56,168.54 - Step 5: Solve for x
x = 56,168.54/305.41 - Step 6: Final answer
x = 183.91
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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.