Finding the Fourth Proportional to 193.08, 289.74 and 77.53
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Solution
The fourth proportional to 193.08, 289.74 and 77.53 is: 116.34
Step by Step Solution
- Step 1: Write the proportion equation
193.08 : 289.74 = 77.53 : x - Step 2: Convert to fraction form
193.08/289.74 = 77.53/x - Step 3: Cross multiply
193.08x = 289.74 × 77.53 - Step 4: Simplify right side
193.08x = 22,464.14 - Step 5: Solve for x
x = 22,464.14/193.08 - Step 6: Final answer
x = 116.34
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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.