Finding the Fourth Proportional to 102.02, 152.99 and 41.14
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Solution
The fourth proportional to 102.02, 152.99 and 41.14 is: 61.69
Step by Step Solution
- Step 1: Write the proportion equation
102.02 : 152.99 = 41.14 : x - Step 2: Convert to fraction form
102.02/152.99 = 41.14/x - Step 3: Cross multiply
102.02x = 152.99 × 41.14 - Step 4: Simplify right side
102.02x = 6,293.24 - Step 5: Solve for x
x = 6,293.24/102.02 - Step 6: Final answer
x = 61.69
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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.