Finding the Fourth Proportional to 277.16, 416 and 266.36
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Solution
The fourth proportional to 277.16, 416 and 266.36 is: 399.79
Step by Step Solution
- Step 1: Write the proportion equation
277.16 : 416 = 266.36 : x - Step 2: Convert to fraction form
277.16/416 = 266.36/x - Step 3: Cross multiply
277.16x = 416 × 266.36 - Step 4: Simplify right side
277.16x = 110,805.76 - Step 5: Solve for x
x = 110,805.76/277.16 - Step 6: Final answer
x = 399.79
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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.