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Finding the Fourth Proportional to 461.35, 636.54 and 286.79

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Solution

The fourth proportional to 461.35, 636.54 and 286.79 is: 395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.35 : 636.54 = 286.79 : x
  2. Step 2: Convert to fraction form
    461.35/636.54 = 286.79/x
  3. Step 3: Cross multiply
    461.35x = 636.54 × 286.79
  4. Step 4: Simplify right side
    461.35x = 182,553.31
  5. Step 5: Solve for x
    x = 182,553.31/461.35
  6. Step 6: Final answer
    x = 395.70

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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.