Finding the Fourth Proportional to 153.76, 212.08 and 102.08
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Solution
The fourth proportional to 153.76, 212.08 and 102.08 is: 140.80
Step by Step Solution
- Step 1: Write the proportion equation
153.76 : 212.08 = 102.08 : x - Step 2: Convert to fraction form
153.76/212.08 = 102.08/x - Step 3: Cross multiply
153.76x = 212.08 × 102.08 - Step 4: Simplify right side
153.76x = 21,649.13 - Step 5: Solve for x
x = 21,649.13/153.76 - Step 6: Final answer
x = 140.80
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.