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Finding the Fourth Proportional to 152.54, 227.49 and 149.49

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Solution

The fourth proportional to 152.54, 227.49 and 149.49 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.54 : 227.49 = 149.49 : x
  2. Step 2: Convert to fraction form
    152.54/227.49 = 149.49/x
  3. Step 3: Cross multiply
    152.54x = 227.49 × 149.49
  4. Step 4: Simplify right side
    152.54x = 34,007.48
  5. Step 5: Solve for x
    x = 34,007.48/152.54
  6. Step 6: Final answer
    x = 222.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.