Finding the Fourth Proportional to 208.98, 313.54 and 79.08
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Solution
The fourth proportional to 208.98, 313.54 and 79.08 is: 118.65
Step by Step Solution
- Step 1: Write the proportion equation
208.98 : 313.54 = 79.08 : x - Step 2: Convert to fraction form
208.98/313.54 = 79.08/x - Step 3: Cross multiply
208.98x = 313.54 × 79.08 - Step 4: Simplify right side
208.98x = 24,794.74 - Step 5: Solve for x
x = 24,794.74/208.98 - Step 6: Final answer
x = 118.65
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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.