Finding the Fourth Proportional to 97.84, 146.91 and 79.63
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Solution
The fourth proportional to 97.84, 146.91 and 79.63 is: 119.57
Step by Step Solution
- Step 1: Write the proportion equation
97.84 : 146.91 = 79.63 : x - Step 2: Convert to fraction form
97.84/146.91 = 79.63/x - Step 3: Cross multiply
97.84x = 146.91 × 79.63 - Step 4: Simplify right side
97.84x = 11,698.44 - Step 5: Solve for x
x = 11,698.44/97.84 - Step 6: Final answer
x = 119.57
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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.