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Finding the Fourth Proportional to 238.39, 327.65 and 210.59

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Solution

The fourth proportional to 238.39, 327.65 and 210.59 is: 289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.39 : 327.65 = 210.59 : x
  2. Step 2: Convert to fraction form
    238.39/327.65 = 210.59/x
  3. Step 3: Cross multiply
    238.39x = 327.65 × 210.59
  4. Step 4: Simplify right side
    238.39x = 68,999.81
  5. Step 5: Solve for x
    x = 68,999.81/238.39
  6. Step 6: Final answer
    x = 289.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.