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Finding the Fourth Proportional to 195.50, 291.81 and 171.20

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Solution

The fourth proportional to 195.50, 291.81 and 171.20 is: 255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.50 : 291.81 = 171.20 : x
  2. Step 2: Convert to fraction form
    195.50/291.81 = 171.20/x
  3. Step 3: Cross multiply
    195.50x = 291.81 × 171.20
  4. Step 4: Simplify right side
    195.50x = 49,956.41
  5. Step 5: Solve for x
    x = 49,956.41/195.50
  6. Step 6: Final answer
    x = 255.54

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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.