Finding the Fourth Proportional to 193.79, 291.14 and 180.12
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Solution
The fourth proportional to 193.79, 291.14 and 180.12 is: 270.61
Step by Step Solution
- Step 1: Write the proportion equation
193.79 : 291.14 = 180.12 : x - Step 2: Convert to fraction form
193.79/291.14 = 180.12/x - Step 3: Cross multiply
193.79x = 291.14 × 180.12 - Step 4: Simplify right side
193.79x = 52,439.24 - Step 5: Solve for x
x = 52,439.24/193.79 - Step 6: Final answer
x = 270.61
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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.