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Finding the Fourth Proportional to 238.86, 329.74 and 165.36

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Solution

The fourth proportional to 238.86, 329.74 and 165.36 is: 228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.86 : 329.74 = 165.36 : x
  2. Step 2: Convert to fraction form
    238.86/329.74 = 165.36/x
  3. Step 3: Cross multiply
    238.86x = 329.74 × 165.36
  4. Step 4: Simplify right side
    238.86x = 54,525.81
  5. Step 5: Solve for x
    x = 54,525.81/238.86
  6. Step 6: Final answer
    x = 228.28

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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.