Finding the Fourth Proportional to 356.53, 491.97 and 199.14
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Solution
The fourth proportional to 356.53, 491.97 and 199.14 is: 274.79
Step by Step Solution
- Step 1: Write the proportion equation
356.53 : 491.97 = 199.14 : x - Step 2: Convert to fraction form
356.53/491.97 = 199.14/x - Step 3: Cross multiply
356.53x = 491.97 × 199.14 - Step 4: Simplify right side
356.53x = 97,972.00 - Step 5: Solve for x
x = 97,972.00/356.53 - Step 6: Final answer
x = 274.79
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.