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Finding the Fourth Proportional to 237.49, 327.82 and 137.94

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Solution

The fourth proportional to 237.49, 327.82 and 137.94 is: 190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.49 : 327.82 = 137.94 : x
  2. Step 2: Convert to fraction form
    237.49/327.82 = 137.94/x
  3. Step 3: Cross multiply
    237.49x = 327.82 × 137.94
  4. Step 4: Simplify right side
    237.49x = 45,219.95
  5. Step 5: Solve for x
    x = 45,219.95/237.49
  6. Step 6: Final answer
    x = 190.40

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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.