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Finding the Fourth Proportional to 237.09, 327.11 and 138.77

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Solution

The fourth proportional to 237.09, 327.11 and 138.77 is: 191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.09 : 327.11 = 138.77 : x
  2. Step 2: Convert to fraction form
    237.09/327.11 = 138.77/x
  3. Step 3: Cross multiply
    237.09x = 327.11 × 138.77
  4. Step 4: Simplify right side
    237.09x = 45,390.73
  5. Step 5: Solve for x
    x = 45,390.73/237.09
  6. Step 6: Final answer
    x = 191.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.