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Finding the Fourth Proportional to 163.63, 225.60 and 128.55

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Solution

The fourth proportional to 163.63, 225.60 and 128.55 is: 177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.63 : 225.60 = 128.55 : x
  2. Step 2: Convert to fraction form
    163.63/225.60 = 128.55/x
  3. Step 3: Cross multiply
    163.63x = 225.60 × 128.55
  4. Step 4: Simplify right side
    163.63x = 29,000.07
  5. Step 5: Solve for x
    x = 29,000.07/163.63
  6. Step 6: Final answer
    x = 177.23

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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.