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Finding the Fourth Proportional to 418.20, 626.38 and 235.49

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Solution

The fourth proportional to 418.20, 626.38 and 235.49 is: 352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 626.38 = 235.49 : x
  2. Step 2: Convert to fraction form
    418.20/626.38 = 235.49/x
  3. Step 3: Cross multiply
    418.20x = 626.38 × 235.49
  4. Step 4: Simplify right side
    418.20x = 147,506.23
  5. Step 5: Solve for x
    x = 147,506.23/418.20
  6. Step 6: Final answer
    x = 352.72

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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.