Finding the Fourth Proportional to 431.14, 646.91 and 157.26
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Solution
The fourth proportional to 431.14, 646.91 and 157.26 is: 235.96
Step by Step Solution
- Step 1: Write the proportion equation
431.14 : 646.91 = 157.26 : x - Step 2: Convert to fraction form
431.14/646.91 = 157.26/x - Step 3: Cross multiply
431.14x = 646.91 × 157.26 - Step 4: Simplify right side
431.14x = 101,733.07 - Step 5: Solve for x
x = 101,733.07/431.14 - Step 6: Final answer
x = 235.96
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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.