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Finding the Fourth Proportional to 237.00, 327.05 and 138.75

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Solution

The fourth proportional to 237.00, 327.05 and 138.75 is: 191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.00 : 327.05 = 138.75 : x
  2. Step 2: Convert to fraction form
    237.00/327.05 = 138.75/x
  3. Step 3: Cross multiply
    237.00x = 327.05 × 138.75
  4. Step 4: Simplify right side
    237.00x = 45,377.49
  5. Step 5: Solve for x
    x = 45,377.49/237.00
  6. Step 6: Final answer
    x = 191.47

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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.