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Finding the Fourth Proportional to 461.06, 636.46 and 286.46

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Solution

The fourth proportional to 461.06, 636.46 and 286.46 is: 395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.06 : 636.46 = 286.46 : x
  2. Step 2: Convert to fraction form
    461.06/636.46 = 286.46/x
  3. Step 3: Cross multiply
    461.06x = 636.46 × 286.46
  4. Step 4: Simplify right side
    461.06x = 182,320.33
  5. Step 5: Solve for x
    x = 182,320.33/461.06
  6. Step 6: Final answer
    x = 395.44

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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.