Finding the Fourth Proportional to 208.70, 313.14 and 87.05
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Solution
The fourth proportional to 208.70, 313.14 and 87.05 is: 130.61
Step by Step Solution
- Step 1: Write the proportion equation
208.70 : 313.14 = 87.05 : x - Step 2: Convert to fraction form
208.70/313.14 = 87.05/x - Step 3: Cross multiply
208.70x = 313.14 × 87.05 - Step 4: Simplify right side
208.70x = 27,258.40 - Step 5: Solve for x
x = 27,258.40/208.70 - Step 6: Final answer
x = 130.61
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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.