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Finding the Fourth Proportional to 461.20, 636.36 and 350.48

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Solution

The fourth proportional to 461.20, 636.36 and 350.48 is: 483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.20 : 636.36 = 350.48 : x
  2. Step 2: Convert to fraction form
    461.20/636.36 = 350.48/x
  3. Step 3: Cross multiply
    461.20x = 636.36 × 350.48
  4. Step 4: Simplify right side
    461.20x = 223,031.45
  5. Step 5: Solve for x
    x = 223,031.45/461.20
  6. Step 6: Final answer
    x = 483.59

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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.