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Finding the Fourth Proportional to 308.75, 464.96 and 268.66

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Solution

The fourth proportional to 308.75, 464.96 and 268.66 is: 404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.75 : 464.96 = 268.66 : x
  2. Step 2: Convert to fraction form
    308.75/464.96 = 268.66/x
  3. Step 3: Cross multiply
    308.75x = 464.96 × 268.66
  4. Step 4: Simplify right side
    308.75x = 124,913.65
  5. Step 5: Solve for x
    x = 124,913.65/308.75
  6. Step 6: Final answer
    x = 404.58

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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.