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Finding the Fourth Proportional to 141.32, 213.14 and 126.26

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Solution

The fourth proportional to 141.32, 213.14 and 126.26 is: 190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.32 : 213.14 = 126.26 : x
  2. Step 2: Convert to fraction form
    141.32/213.14 = 126.26/x
  3. Step 3: Cross multiply
    141.32x = 213.14 × 126.26
  4. Step 4: Simplify right side
    141.32x = 26,911.06
  5. Step 5: Solve for x
    x = 26,911.06/141.32
  6. Step 6: Final answer
    x = 190.43

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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.