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Finding the Fourth Proportional to 151.54, 227.50 and 121.48

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Solution

The fourth proportional to 151.54, 227.50 and 121.48 is: 182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.54 : 227.50 = 121.48 : x
  2. Step 2: Convert to fraction form
    151.54/227.50 = 121.48/x
  3. Step 3: Cross multiply
    151.54x = 227.50 × 121.48
  4. Step 4: Simplify right side
    151.54x = 27,636.70
  5. Step 5: Solve for x
    x = 27,636.70/151.54
  6. Step 6: Final answer
    x = 182.37

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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.