Finding the Fourth Proportional to 102.09, 153.08 and 41.19
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Solution
The fourth proportional to 102.09, 153.08 and 41.19 is: 61.76
Step by Step Solution
- Step 1: Write the proportion equation
102.09 : 153.08 = 41.19 : x - Step 2: Convert to fraction form
102.09/153.08 = 41.19/x - Step 3: Cross multiply
102.09x = 153.08 × 41.19 - Step 4: Simplify right side
102.09x = 6,305.09 - Step 5: Solve for x
x = 6,305.09/102.09 - Step 6: Final answer
x = 61.76
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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.