Finding the Fourth Proportional to 305.39, 457.99 and 122.74
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Solution
The fourth proportional to 305.39, 457.99 and 122.74 is: 184.07
Step by Step Solution
- Step 1: Write the proportion equation
305.39 : 457.99 = 122.74 : x - Step 2: Convert to fraction form
305.39/457.99 = 122.74/x - Step 3: Cross multiply
305.39x = 457.99 × 122.74 - Step 4: Simplify right side
305.39x = 56,212.24 - Step 5: Solve for x
x = 56,212.24/305.39 - Step 6: Final answer
x = 184.07
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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.