Finding the Fourth Proportional to 114.18, 157.54 and 65.05
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Solution
The fourth proportional to 114.18, 157.54 and 65.05 is: 89.75
Step by Step Solution
- Step 1: Write the proportion equation
114.18 : 157.54 = 65.05 : x - Step 2: Convert to fraction form
114.18/157.54 = 65.05/x - Step 3: Cross multiply
114.18x = 157.54 × 65.05 - Step 4: Simplify right side
114.18x = 10,247.98 - Step 5: Solve for x
x = 10,247.98/114.18 - Step 6: Final answer
x = 89.75
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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.