Finding the Fourth Proportional to 340.80, 511 and 157.84
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Solution
The fourth proportional to 340.80, 511 and 157.84 is: 236.67
Step by Step Solution
- Step 1: Write the proportion equation
340.80 : 511 = 157.84 : x - Step 2: Convert to fraction form
340.80/511 = 157.84/x - Step 3: Cross multiply
340.80x = 511 × 157.84 - Step 4: Simplify right side
340.80x = 80,656.24 - Step 5: Solve for x
x = 80,656.24/340.80 - Step 6: Final answer
x = 236.67
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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.