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Finding the Fourth Proportional to 238.24, 330.52 and 229.60

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Solution

The fourth proportional to 238.24, 330.52 and 229.60 is: 318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.24 : 330.52 = 229.60 : x
  2. Step 2: Convert to fraction form
    238.24/330.52 = 229.60/x
  3. Step 3: Cross multiply
    238.24x = 330.52 × 229.60
  4. Step 4: Simplify right side
    238.24x = 75,887.39
  5. Step 5: Solve for x
    x = 75,887.39/238.24
  6. Step 6: Final answer
    x = 318.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.