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Finding the Fourth Proportional to 151.82, 227.79 and 54.37

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Solution

The fourth proportional to 151.82, 227.79 and 54.37 is: 81.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.82 : 227.79 = 54.37 : x
  2. Step 2: Convert to fraction form
    151.82/227.79 = 54.37/x
  3. Step 3: Cross multiply
    151.82x = 227.79 × 54.37
  4. Step 4: Simplify right side
    151.82x = 12,383.53
  5. Step 5: Solve for x
    x = 12,383.53/151.82
  6. Step 6: Final answer
    x = 81.57

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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.