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Finding the Fourth Proportional to 109.43, 164.14 and 28.27

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Solution

The fourth proportional to 109.43, 164.14 and 28.27 is: 42.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.43 : 164.14 = 28.27 : x
  2. Step 2: Convert to fraction form
    109.43/164.14 = 28.27/x
  3. Step 3: Cross multiply
    109.43x = 164.14 × 28.27
  4. Step 4: Simplify right side
    109.43x = 4,640.48
  5. Step 5: Solve for x
    x = 4,640.48/109.43
  6. Step 6: Final answer
    x = 42.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.