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Finding the Fourth Proportional to 238.09, 328.45 and 164.45

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Solution

The fourth proportional to 238.09, 328.45 and 164.45 is: 226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.09 : 328.45 = 164.45 : x
  2. Step 2: Convert to fraction form
    238.09/328.45 = 164.45/x
  3. Step 3: Cross multiply
    238.09x = 328.45 × 164.45
  4. Step 4: Simplify right side
    238.09x = 54,013.60
  5. Step 5: Solve for x
    x = 54,013.60/238.09
  6. Step 6: Final answer
    x = 226.86

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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.