Finding the Fourth Proportional to 102.30, 153.48 and 61.98
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Solution
The fourth proportional to 102.30, 153.48 and 61.98 is: 92.99
Step by Step Solution
- Step 1: Write the proportion equation
102.30 : 153.48 = 61.98 : x - Step 2: Convert to fraction form
102.30/153.48 = 61.98/x - Step 3: Cross multiply
102.30x = 153.48 × 61.98 - Step 4: Simplify right side
102.30x = 9,512.69 - Step 5: Solve for x
x = 9,512.69/102.30 - Step 6: Final answer
x = 92.99
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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.