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Finding the Fourth Proportional to 460.80, 636.29 and 350.13

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Solution

The fourth proportional to 460.80, 636.29 and 350.13 is: 483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 636.29 = 350.13 : x
  2. Step 2: Convert to fraction form
    460.80/636.29 = 350.13/x
  3. Step 3: Cross multiply
    460.80x = 636.29 × 350.13
  4. Step 4: Simplify right side
    460.80x = 222,786.17
  5. Step 5: Solve for x
    x = 222,786.17/460.80
  6. Step 6: Final answer
    x = 483.48

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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.