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Finding the Fourth Proportional to 237.18, 327.20 and 138.88

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Solution

The fourth proportional to 237.18, 327.20 and 138.88 is: 191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.18 : 327.20 = 138.88 : x
  2. Step 2: Convert to fraction form
    237.18/327.20 = 138.88/x
  3. Step 3: Cross multiply
    237.18x = 327.20 × 138.88
  4. Step 4: Simplify right side
    237.18x = 45,439.21
  5. Step 5: Solve for x
    x = 45,439.21/237.18
  6. Step 6: Final answer
    x = 191.58

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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.