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Finding the Fourth Proportional to 237.31, 327.32 and 163.80

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Solution

The fourth proportional to 237.31, 327.32 and 163.80 is: 225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.31 : 327.32 = 163.80 : x
  2. Step 2: Convert to fraction form
    237.31/327.32 = 163.80/x
  3. Step 3: Cross multiply
    237.31x = 327.32 × 163.80
  4. Step 4: Simplify right side
    237.31x = 53,615.02
  5. Step 5: Solve for x
    x = 53,615.02/237.31
  6. Step 6: Final answer
    x = 225.93

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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.