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Finding the Fourth Proportional to 238.50, 327.38 and 228.48

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Solution

The fourth proportional to 238.50, 327.38 and 228.48 is: 313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.50 : 327.38 = 228.48 : x
  2. Step 2: Convert to fraction form
    238.50/327.38 = 228.48/x
  3. Step 3: Cross multiply
    238.50x = 327.38 × 228.48
  4. Step 4: Simplify right side
    238.50x = 74,799.78
  5. Step 5: Solve for x
    x = 74,799.78/238.50
  6. Step 6: Final answer
    x = 313.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.