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Finding the Fourth Proportional to 141.64, 213.20 and 109.31

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Solution

The fourth proportional to 141.64, 213.20 and 109.31 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.64 : 213.20 = 109.31 : x
  2. Step 2: Convert to fraction form
    141.64/213.20 = 109.31/x
  3. Step 3: Cross multiply
    141.64x = 213.20 × 109.31
  4. Step 4: Simplify right side
    141.64x = 23,305.70
  5. Step 5: Solve for x
    x = 23,305.70/141.64
  6. Step 6: Final answer
    x = 164.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.