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Finding the Fourth Proportional to 144.64, 198.16 and 138.88

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Solution

The fourth proportional to 144.64, 198.16 and 138.88 is: 190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.64 : 198.16 = 138.88 : x
  2. Step 2: Convert to fraction form
    144.64/198.16 = 138.88/x
  3. Step 3: Cross multiply
    144.64x = 198.16 × 138.88
  4. Step 4: Simplify right side
    144.64x = 27,520.46
  5. Step 5: Solve for x
    x = 27,520.46/144.64
  6. Step 6: Final answer
    x = 190.27

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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.