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Finding the Fourth Proportional to 418.26, 626.94 and 174.42

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Solution

The fourth proportional to 418.26, 626.94 and 174.42 is: 261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.26 : 626.94 = 174.42 : x
  2. Step 2: Convert to fraction form
    418.26/626.94 = 174.42/x
  3. Step 3: Cross multiply
    418.26x = 626.94 × 174.42
  4. Step 4: Simplify right side
    418.26x = 109,350.87
  5. Step 5: Solve for x
    x = 109,350.87/418.26
  6. Step 6: Final answer
    x = 261.44

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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.