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Finding the Fourth Proportional to 144.24, 198.84 and 138.78

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Solution

The fourth proportional to 144.24, 198.84 and 138.78 is: 191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.24 : 198.84 = 138.78 : x
  2. Step 2: Convert to fraction form
    144.24/198.84 = 138.78/x
  3. Step 3: Cross multiply
    144.24x = 198.84 × 138.78
  4. Step 4: Simplify right side
    144.24x = 27,595.02
  5. Step 5: Solve for x
    x = 27,595.02/144.24
  6. Step 6: Final answer
    x = 191.31

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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.