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Finding the Fourth Proportional to 141.44, 210.74 and 132.13

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Solution

The fourth proportional to 141.44, 210.74 and 132.13 is: 196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.44 : 210.74 = 132.13 : x
  2. Step 2: Convert to fraction form
    141.44/210.74 = 132.13/x
  3. Step 3: Cross multiply
    141.44x = 210.74 × 132.13
  4. Step 4: Simplify right side
    141.44x = 27,843.36
  5. Step 5: Solve for x
    x = 27,843.36/141.44
  6. Step 6: Final answer
    x = 196.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.