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Finding the Fourth Proportional to 174.91, 262.20 and 77.41

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Solution

The fourth proportional to 174.91, 262.20 and 77.41 is: 116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.91 : 262.20 = 77.41 : x
  2. Step 2: Convert to fraction form
    174.91/262.20 = 77.41/x
  3. Step 3: Cross multiply
    174.91x = 262.20 × 77.41
  4. Step 4: Simplify right side
    174.91x = 20,296.90
  5. Step 5: Solve for x
    x = 20,296.90/174.91
  6. Step 6: Final answer
    x = 116.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.