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Finding the Fourth Proportional to 237.35, 327.56 and 137.80

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Solution

The fourth proportional to 237.35, 327.56 and 137.80 is: 190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.35 : 327.56 = 137.80 : x
  2. Step 2: Convert to fraction form
    237.35/327.56 = 137.80/x
  3. Step 3: Cross multiply
    237.35x = 327.56 × 137.80
  4. Step 4: Simplify right side
    237.35x = 45,136.78
  5. Step 5: Solve for x
    x = 45,136.78/237.35
  6. Step 6: Final answer
    x = 190.17

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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.