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Finding the Fourth Proportional to 238.74, 331.22 and 230.10

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Solution

The fourth proportional to 238.74, 331.22 and 230.10 is: 319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.74 : 331.22 = 230.10 : x
  2. Step 2: Convert to fraction form
    238.74/331.22 = 230.10/x
  3. Step 3: Cross multiply
    238.74x = 331.22 × 230.10
  4. Step 4: Simplify right side
    238.74x = 76,212.57
  5. Step 5: Solve for x
    x = 76,212.57/238.74
  6. Step 6: Final answer
    x = 319.23

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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.