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Finding the Fourth Proportional to 163.78, 224.64 and 154.97

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Solution

The fourth proportional to 163.78, 224.64 and 154.97 is: 212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 224.64 = 154.97 : x
  2. Step 2: Convert to fraction form
    163.78/224.64 = 154.97/x
  3. Step 3: Cross multiply
    163.78x = 224.64 × 154.97
  4. Step 4: Simplify right side
    163.78x = 34,812.18
  5. Step 5: Solve for x
    x = 34,812.18/163.78
  6. Step 6: Final answer
    x = 212.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.