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Finding the Fourth Proportional to 163.02, 224.94 and 97.56

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Solution

The fourth proportional to 163.02, 224.94 and 97.56 is: 134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.02 : 224.94 = 97.56 : x
  2. Step 2: Convert to fraction form
    163.02/224.94 = 97.56/x
  3. Step 3: Cross multiply
    163.02x = 224.94 × 97.56
  4. Step 4: Simplify right side
    163.02x = 21,945.15
  5. Step 5: Solve for x
    x = 21,945.15/163.02
  6. Step 6: Final answer
    x = 134.62

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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.