Finding the Fourth Proportional to 232.02, 320.09 and 138.74
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Solution
The fourth proportional to 232.02, 320.09 and 138.74 is: 191.39
Step by Step Solution
- Step 1: Write the proportion equation
232.02 : 320.09 = 138.74 : x - Step 2: Convert to fraction form
232.02/320.09 = 138.74/x - Step 3: Cross multiply
232.02x = 320.09 × 138.74 - Step 4: Simplify right side
232.02x = 44,406.99 - Step 5: Solve for x
x = 44,406.99/232.02 - Step 6: Final answer
x = 191.39
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.