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Finding the Fourth Proportional to 272.97, 408.55 and 149.38

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Solution

The fourth proportional to 272.97, 408.55 and 149.38 is: 223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 408.55 = 149.38 : x
  2. Step 2: Convert to fraction form
    272.97/408.55 = 149.38/x
  3. Step 3: Cross multiply
    272.97x = 408.55 × 149.38
  4. Step 4: Simplify right side
    272.97x = 61,028.55
  5. Step 5: Solve for x
    x = 61,028.55/272.97
  6. Step 6: Final answer
    x = 223.58

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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.