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Finding the Fourth Proportional to 239.19, 329.79 and 165.54

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Solution

The fourth proportional to 239.19, 329.79 and 165.54 is: 228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.19 : 329.79 = 165.54 : x
  2. Step 2: Convert to fraction form
    239.19/329.79 = 165.54/x
  3. Step 3: Cross multiply
    239.19x = 329.79 × 165.54
  4. Step 4: Simplify right side
    239.19x = 54,593.44
  5. Step 5: Solve for x
    x = 54,593.44/239.19
  6. Step 6: Final answer
    x = 228.24

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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.