Finding the Fourth Proportional to 430.93, 646.53 and 157.08
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Solution
The fourth proportional to 430.93, 646.53 and 157.08 is: 235.67
Step by Step Solution
- Step 1: Write the proportion equation
430.93 : 646.53 = 157.08 : x - Step 2: Convert to fraction form
430.93/646.53 = 157.08/x - Step 3: Cross multiply
430.93x = 646.53 × 157.08 - Step 4: Simplify right side
430.93x = 101,556.93 - Step 5: Solve for x
x = 101,556.93/430.93 - Step 6: Final answer
x = 235.67
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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.