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Finding the Fourth Proportional to 105.02, 144.85 and 84.21

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Solution

The fourth proportional to 105.02, 144.85 and 84.21 is: 116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.02 : 144.85 = 84.21 : x
  2. Step 2: Convert to fraction form
    105.02/144.85 = 84.21/x
  3. Step 3: Cross multiply
    105.02x = 144.85 × 84.21
  4. Step 4: Simplify right side
    105.02x = 12,198.56
  5. Step 5: Solve for x
    x = 12,198.56/105.02
  6. Step 6: Final answer
    x = 116.15

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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.