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Finding the Fourth Proportional to 418.12, 626.39 and 235.65

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Solution

The fourth proportional to 418.12, 626.39 and 235.65 is: 353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.12 : 626.39 = 235.65 : x
  2. Step 2: Convert to fraction form
    418.12/626.39 = 235.65/x
  3. Step 3: Cross multiply
    418.12x = 626.39 × 235.65
  4. Step 4: Simplify right side
    418.12x = 147,608.80
  5. Step 5: Solve for x
    x = 147,608.80/418.12
  6. Step 6: Final answer
    x = 353.03

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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.