Finding the Fourth Proportional to 232.05, 348.08 and 102
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Solution
The fourth proportional to 232.05, 348.08 and 102 is: 153
Step by Step Solution
- Step 1: Write the proportion equation
232.05 : 348.08 = 102 : x - Step 2: Convert to fraction form
232.05/348.08 = 102/x - Step 3: Cross multiply
232.05x = 348.08 × 102 - Step 4: Simplify right side
232.05x = 35,503.65 - Step 5: Solve for x
x = 35,503.65/232.05 - Step 6: Final answer
x = 153
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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.