Finding the Fourth Proportional to 277.97, 417 and 133.70
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Solution
The fourth proportional to 277.97, 417 and 133.70 is: 200.57
Step by Step Solution
- Step 1: Write the proportion equation
277.97 : 417 = 133.70 : x - Step 2: Convert to fraction form
277.97/417 = 133.70/x - Step 3: Cross multiply
277.97x = 417 × 133.70 - Step 4: Simplify right side
277.97x = 55,750.82 - Step 5: Solve for x
x = 55,750.82/277.97 - Step 6: Final answer
x = 200.57
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.