Finding the Fourth Proportional to 430.68, 646 and 214.08
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Solution
The fourth proportional to 430.68, 646 and 214.08 is: 321.11
Step by Step Solution
- Step 1: Write the proportion equation
430.68 : 646 = 214.08 : x - Step 2: Convert to fraction form
430.68/646 = 214.08/x - Step 3: Cross multiply
430.68x = 646 × 214.08 - Step 4: Simplify right side
430.68x = 138,295.68 - Step 5: Solve for x
x = 138,295.68/430.68 - Step 6: Final answer
x = 321.11
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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.