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Finding the Fourth Proportional to 155.44, 232.37 and 132.64

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Solution

The fourth proportional to 155.44, 232.37 and 132.64 is: 198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.44 : 232.37 = 132.64 : x
  2. Step 2: Convert to fraction form
    155.44/232.37 = 132.64/x
  3. Step 3: Cross multiply
    155.44x = 232.37 × 132.64
  4. Step 4: Simplify right side
    155.44x = 30,821.56
  5. Step 5: Solve for x
    x = 30,821.56/155.44
  6. Step 6: Final answer
    x = 198.29

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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.