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Finding the Fourth Proportional to 308.63, 464.77 and 268.54

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Solution

The fourth proportional to 308.63, 464.77 and 268.54 is: 404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.63 : 464.77 = 268.54 : x
  2. Step 2: Convert to fraction form
    308.63/464.77 = 268.54/x
  3. Step 3: Cross multiply
    308.63x = 464.77 × 268.54
  4. Step 4: Simplify right side
    308.63x = 124,806.68
  5. Step 5: Solve for x
    x = 124,806.68/308.63
  6. Step 6: Final answer
    x = 404.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.