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Finding the Fourth Proportional to 144.73, 199.56 and 132.45

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Solution

The fourth proportional to 144.73, 199.56 and 132.45 is: 182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.73 : 199.56 = 132.45 : x
  2. Step 2: Convert to fraction form
    144.73/199.56 = 132.45/x
  3. Step 3: Cross multiply
    144.73x = 199.56 × 132.45
  4. Step 4: Simplify right side
    144.73x = 26,431.72
  5. Step 5: Solve for x
    x = 26,431.72/144.73
  6. Step 6: Final answer
    x = 182.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.