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Finding the Fourth Proportional to 461.54, 636.73 and 286.76

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Solution

The fourth proportional to 461.54, 636.73 and 286.76 is: 395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.54 : 636.73 = 286.76 : x
  2. Step 2: Convert to fraction form
    461.54/636.73 = 286.76/x
  3. Step 3: Cross multiply
    461.54x = 636.73 × 286.76
  4. Step 4: Simplify right side
    461.54x = 182,584.79
  5. Step 5: Solve for x
    x = 182,584.79/461.54
  6. Step 6: Final answer
    x = 395.60

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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.