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Finding the Fourth Proportional to 237.38, 327.42 and 144.02

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Solution

The fourth proportional to 237.38, 327.42 and 144.02 is: 198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.38 : 327.42 = 144.02 : x
  2. Step 2: Convert to fraction form
    237.38/327.42 = 144.02/x
  3. Step 3: Cross multiply
    237.38x = 327.42 × 144.02
  4. Step 4: Simplify right side
    237.38x = 47,155.03
  5. Step 5: Solve for x
    x = 47,155.03/237.38
  6. Step 6: Final answer
    x = 198.65

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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.