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Finding the Fourth Proportional to 155.45, 231.87 and 132.37

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Solution

The fourth proportional to 155.45, 231.87 and 132.37 is: 197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.45 : 231.87 = 132.37 : x
  2. Step 2: Convert to fraction form
    155.45/231.87 = 132.37/x
  3. Step 3: Cross multiply
    155.45x = 231.87 × 132.37
  4. Step 4: Simplify right side
    155.45x = 30,690.81
  5. Step 5: Solve for x
    x = 30,690.81/155.45
  6. Step 6: Final answer
    x = 197.43

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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.