Finding the Fourth Proportional to 430.71, 646.19 and 170.75
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Solution
The fourth proportional to 430.71, 646.19 and 170.75 is: 256.18
Step by Step Solution
- Step 1: Write the proportion equation
430.71 : 646.19 = 170.75 : x - Step 2: Convert to fraction form
430.71/646.19 = 170.75/x - Step 3: Cross multiply
430.71x = 646.19 × 170.75 - Step 4: Simplify right side
430.71x = 110,338.98 - Step 5: Solve for x
x = 110,338.98/430.71 - Step 6: Final answer
x = 256.18
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.