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Finding the Fourth Proportional to 461.70, 636.80 and 286.88

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Solution

The fourth proportional to 461.70, 636.80 and 286.88 is: 395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.70 : 636.80 = 286.88 : x
  2. Step 2: Convert to fraction form
    461.70/636.80 = 286.88/x
  3. Step 3: Cross multiply
    461.70x = 636.80 × 286.88
  4. Step 4: Simplify right side
    461.70x = 182,680.57
  5. Step 5: Solve for x
    x = 182,680.57/461.70
  6. Step 6: Final answer
    x = 395.67

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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.