Finding the Fourth Proportional to 192.24, 289.08 and 177.12
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Solution
The fourth proportional to 192.24, 289.08 and 177.12 is: 266.34
Step by Step Solution
- Step 1: Write the proportion equation
192.24 : 289.08 = 177.12 : x - Step 2: Convert to fraction form
192.24/289.08 = 177.12/x - Step 3: Cross multiply
192.24x = 289.08 × 177.12 - Step 4: Simplify right side
192.24x = 51,201.85 - Step 5: Solve for x
x = 51,201.85/192.24 - Step 6: Final answer
x = 266.34
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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.