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Finding the Fourth Proportional to 308.53, 461.62 and 269.73

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Solution

The fourth proportional to 308.53, 461.62 and 269.73 is: 403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.53 : 461.62 = 269.73 : x
  2. Step 2: Convert to fraction form
    308.53/461.62 = 269.73/x
  3. Step 3: Cross multiply
    308.53x = 461.62 × 269.73
  4. Step 4: Simplify right side
    308.53x = 124,513.86
  5. Step 5: Solve for x
    x = 124,513.86/308.53
  6. Step 6: Final answer
    x = 403.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.