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Finding the Fourth Proportional to 238.98, 329.82 and 165.30

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Solution

The fourth proportional to 238.98, 329.82 and 165.30 is: 228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.98 : 329.82 = 165.30 : x
  2. Step 2: Convert to fraction form
    238.98/329.82 = 165.30/x
  3. Step 3: Cross multiply
    238.98x = 329.82 × 165.30
  4. Step 4: Simplify right side
    238.98x = 54,519.25
  5. Step 5: Solve for x
    x = 54,519.25/238.98
  6. Step 6: Final answer
    x = 228.13

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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.