Finding the Fourth Proportional to 105.84, 158.94 and 86.58
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Solution
The fourth proportional to 105.84, 158.94 and 86.58 is: 130.02
Step by Step Solution
- Step 1: Write the proportion equation
105.84 : 158.94 = 86.58 : x - Step 2: Convert to fraction form
105.84/158.94 = 86.58/x - Step 3: Cross multiply
105.84x = 158.94 × 86.58 - Step 4: Simplify right side
105.84x = 13,761.03 - Step 5: Solve for x
x = 13,761.03/105.84 - Step 6: Final answer
x = 130.02
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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.