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Finding the Fourth Proportional to 195.80, 292.26 and 171.50

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Solution

The fourth proportional to 195.80, 292.26 and 171.50 is: 255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.80 : 292.26 = 171.50 : x
  2. Step 2: Convert to fraction form
    195.80/292.26 = 171.50/x
  3. Step 3: Cross multiply
    195.80x = 292.26 × 171.50
  4. Step 4: Simplify right side
    195.80x = 50,122.59
  5. Step 5: Solve for x
    x = 50,122.59/195.80
  6. Step 6: Final answer
    x = 255.99

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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.