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Finding the Fourth Proportional to 178.97, 248.02 and 175.73

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Solution

The fourth proportional to 178.97, 248.02 and 175.73 is: 243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.97 : 248.02 = 175.73 : x
  2. Step 2: Convert to fraction form
    178.97/248.02 = 175.73/x
  3. Step 3: Cross multiply
    178.97x = 248.02 × 175.73
  4. Step 4: Simplify right side
    178.97x = 43,584.55
  5. Step 5: Solve for x
    x = 43,584.55/178.97
  6. Step 6: Final answer
    x = 243.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.