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Finding the Fourth Proportional to 155.39, 231.84 and 132.30

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Solution

The fourth proportional to 155.39, 231.84 and 132.30 is: 197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.39 : 231.84 = 132.30 : x
  2. Step 2: Convert to fraction form
    155.39/231.84 = 132.30/x
  3. Step 3: Cross multiply
    155.39x = 231.84 × 132.30
  4. Step 4: Simplify right side
    155.39x = 30,672.43
  5. Step 5: Solve for x
    x = 30,672.43/155.39
  6. Step 6: Final answer
    x = 197.40

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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.