Finding the Fourth Proportional to 305.22, 458.09 and 142.99
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Solution
The fourth proportional to 305.22, 458.09 and 142.99 is: 214.61
Step by Step Solution
- Step 1: Write the proportion equation
305.22 : 458.09 = 142.99 : x - Step 2: Convert to fraction form
305.22/458.09 = 142.99/x - Step 3: Cross multiply
305.22x = 458.09 × 142.99 - Step 4: Simplify right side
305.22x = 65,502.29 - Step 5: Solve for x
x = 65,502.29/305.22 - Step 6: Final answer
x = 214.61
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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.