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Finding the Fourth Proportional to 238.12, 328.44 and 144.84

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Solution

The fourth proportional to 238.12, 328.44 and 144.84 is: 199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.12 : 328.44 = 144.84 : x
  2. Step 2: Convert to fraction form
    238.12/328.44 = 144.84/x
  3. Step 3: Cross multiply
    238.12x = 328.44 × 144.84
  4. Step 4: Simplify right side
    238.12x = 47,571.25
  5. Step 5: Solve for x
    x = 47,571.25/238.12
  6. Step 6: Final answer
    x = 199.78

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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.