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Finding the Fourth Proportional to 461.55, 636.94 and 275.05

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Solution

The fourth proportional to 461.55, 636.94 and 275.05 is: 379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.55 : 636.94 = 275.05 : x
  2. Step 2: Convert to fraction form
    461.55/636.94 = 275.05/x
  3. Step 3: Cross multiply
    461.55x = 636.94 × 275.05
  4. Step 4: Simplify right side
    461.55x = 175,189.44
  5. Step 5: Solve for x
    x = 175,189.44/461.55
  6. Step 6: Final answer
    x = 379.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.