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Finding the Fourth Proportional to 418.38, 626.80 and 235.22

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Solution

The fourth proportional to 418.38, 626.80 and 235.22 is: 352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.38 : 626.80 = 235.22 : x
  2. Step 2: Convert to fraction form
    418.38/626.80 = 235.22/x
  3. Step 3: Cross multiply
    418.38x = 626.80 × 235.22
  4. Step 4: Simplify right side
    418.38x = 147,435.90
  5. Step 5: Solve for x
    x = 147,435.90/418.38
  6. Step 6: Final answer
    x = 352.40

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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.