Finding the Fourth Proportional to 153.14, 229.59 and 76.05
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Solution
The fourth proportional to 153.14, 229.59 and 76.05 is: 114.02
Step by Step Solution
- Step 1: Write the proportion equation
153.14 : 229.59 = 76.05 : x - Step 2: Convert to fraction form
153.14/229.59 = 76.05/x - Step 3: Cross multiply
153.14x = 229.59 × 76.05 - Step 4: Simplify right side
153.14x = 17,460.32 - Step 5: Solve for x
x = 17,460.32/153.14 - Step 6: Final answer
x = 114.02
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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.