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Finding the Fourth Proportional to 238.98, 330.41 and 165.84

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Solution

The fourth proportional to 238.98, 330.41 and 165.84 is: 229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.98 : 330.41 = 165.84 : x
  2. Step 2: Convert to fraction form
    238.98/330.41 = 165.84/x
  3. Step 3: Cross multiply
    238.98x = 330.41 × 165.84
  4. Step 4: Simplify right side
    238.98x = 54,794.37
  5. Step 5: Solve for x
    x = 54,794.37/238.98
  6. Step 6: Final answer
    x = 229.28

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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.