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Finding the Fourth Proportional to 155, 231.42 and 132.19

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Solution

The fourth proportional to 155, 231.42 and 132.19 is: 197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155 : 231.42 = 132.19 : x
  2. Step 2: Convert to fraction form
    155/231.42 = 132.19/x
  3. Step 3: Cross multiply
    155x = 231.42 × 132.19
  4. Step 4: Simplify right side
    155x = 30,589.59
  5. Step 5: Solve for x
    x = 30,589.59/155
  6. Step 6: Final answer
    x = 197.35

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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.