Finding the Fourth Proportional to 432.14, 646.74 and 267.70
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Solution
The fourth proportional to 432.14, 646.74 and 267.70 is: 400.64
Step by Step Solution
- Step 1: Write the proportion equation
432.14 : 646.74 = 267.70 : x - Step 2: Convert to fraction form
432.14/646.74 = 267.70/x - Step 3: Cross multiply
432.14x = 646.74 × 267.70 - Step 4: Simplify right side
432.14x = 173,132.30 - Step 5: Solve for x
x = 173,132.30/432.14 - Step 6: Final answer
x = 400.64
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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.