Finding the Fourth Proportional to 115.78, 159.84 and 76.99
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Solution
The fourth proportional to 115.78, 159.84 and 76.99 is: 106.29
Step by Step Solution
- Step 1: Write the proportion equation
115.78 : 159.84 = 76.99 : x - Step 2: Convert to fraction form
115.78/159.84 = 76.99/x - Step 3: Cross multiply
115.78x = 159.84 × 76.99 - Step 4: Simplify right side
115.78x = 12,306.08 - Step 5: Solve for x
x = 12,306.08/115.78 - Step 6: Final answer
x = 106.29
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.