Finding the Fourth Proportional to 180.79, 271.10 and 78.02
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Solution
The fourth proportional to 180.79, 271.10 and 78.02 is: 116.99
Step by Step Solution
- Step 1: Write the proportion equation
180.79 : 271.10 = 78.02 : x - Step 2: Convert to fraction form
180.79/271.10 = 78.02/x - Step 3: Cross multiply
180.79x = 271.10 × 78.02 - Step 4: Simplify right side
180.79x = 21,150.06 - Step 5: Solve for x
x = 21,150.06/180.79 - Step 6: Final answer
x = 116.99
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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.