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Finding the Fourth Proportional to 163.08, 223.80 and 148.44

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Solution

The fourth proportional to 163.08, 223.80 and 148.44 is: 203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.08 : 223.80 = 148.44 : x
  2. Step 2: Convert to fraction form
    163.08/223.80 = 148.44/x
  3. Step 3: Cross multiply
    163.08x = 223.80 × 148.44
  4. Step 4: Simplify right side
    163.08x = 33,220.87
  5. Step 5: Solve for x
    x = 33,220.87/163.08
  6. Step 6: Final answer
    x = 203.71

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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.