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Finding the Fourth Proportional to 105.21, 144.99 and 84.56

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Solution

The fourth proportional to 105.21, 144.99 and 84.56 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.21 : 144.99 = 84.56 : x
  2. Step 2: Convert to fraction form
    105.21/144.99 = 84.56/x
  3. Step 3: Cross multiply
    105.21x = 144.99 × 84.56
  4. Step 4: Simplify right side
    105.21x = 12,259.63
  5. Step 5: Solve for x
    x = 12,259.63/105.21
  6. Step 6: Final answer
    x = 116.53

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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.