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Finding the Fourth Proportional to 195.40, 269.48 and 132.32

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Solution

The fourth proportional to 195.40, 269.48 and 132.32 is: 182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.40 : 269.48 = 132.32 : x
  2. Step 2: Convert to fraction form
    195.40/269.48 = 132.32/x
  3. Step 3: Cross multiply
    195.40x = 269.48 × 132.32
  4. Step 4: Simplify right side
    195.40x = 35,657.59
  5. Step 5: Solve for x
    x = 35,657.59/195.40
  6. Step 6: Final answer
    x = 182.49

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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.