Finding the Fourth Proportional to 305.30, 457.74 and 122.64
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Solution
The fourth proportional to 305.30, 457.74 and 122.64 is: 183.88
Step by Step Solution
- Step 1: Write the proportion equation
305.30 : 457.74 = 122.64 : x - Step 2: Convert to fraction form
305.30/457.74 = 122.64/x - Step 3: Cross multiply
305.30x = 457.74 × 122.64 - Step 4: Simplify right side
305.30x = 56,137.23 - Step 5: Solve for x
x = 56,137.23/305.30 - Step 6: Final answer
x = 183.88
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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.