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Finding the Fourth Proportional to 460.83, 636.38 and 295.44

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Solution

The fourth proportional to 460.83, 636.38 and 295.44 is: 407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.83 : 636.38 = 295.44 : x
  2. Step 2: Convert to fraction form
    460.83/636.38 = 295.44/x
  3. Step 3: Cross multiply
    460.83x = 636.38 × 295.44
  4. Step 4: Simplify right side
    460.83x = 188,012.11
  5. Step 5: Solve for x
    x = 188,012.11/460.83
  6. Step 6: Final answer
    x = 407.99

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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.