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Finding the Fourth Proportional to 461.55, 636.91 and 275.12

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Solution

The fourth proportional to 461.55, 636.91 and 275.12 is: 379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.55 : 636.91 = 275.12 : x
  2. Step 2: Convert to fraction form
    461.55/636.91 = 275.12/x
  3. Step 3: Cross multiply
    461.55x = 636.91 × 275.12
  4. Step 4: Simplify right side
    461.55x = 175,226.68
  5. Step 5: Solve for x
    x = 175,226.68/461.55
  6. Step 6: Final answer
    x = 379.65

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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.