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Finding the Fourth Proportional to 237.38, 327.50 and 144.16

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Solution

The fourth proportional to 237.38, 327.50 and 144.16 is: 198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.38 : 327.50 = 144.16 : x
  2. Step 2: Convert to fraction form
    237.38/327.50 = 144.16/x
  3. Step 3: Cross multiply
    237.38x = 327.50 × 144.16
  4. Step 4: Simplify right side
    237.38x = 47,212.40
  5. Step 5: Solve for x
    x = 47,212.40/237.38
  6. Step 6: Final answer
    x = 198.89

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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.