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Finding the Fourth Proportional to 237.75, 327.96 and 144.55

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Solution

The fourth proportional to 237.75, 327.96 and 144.55 is: 199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.75 : 327.96 = 144.55 : x
  2. Step 2: Convert to fraction form
    237.75/327.96 = 144.55/x
  3. Step 3: Cross multiply
    237.75x = 327.96 × 144.55
  4. Step 4: Simplify right side
    237.75x = 47,406.30
  5. Step 5: Solve for x
    x = 47,406.30/237.75
  6. Step 6: Final answer
    x = 199.39

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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.