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Finding the Fourth Proportional to 626.14, 938.41 and 297.08

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Solution

The fourth proportional to 626.14, 938.41 and 297.08 is: 445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.14 : 938.41 = 297.08 : x
  2. Step 2: Convert to fraction form
    626.14/938.41 = 297.08/x
  3. Step 3: Cross multiply
    626.14x = 938.41 × 297.08
  4. Step 4: Simplify right side
    626.14x = 278,777.41
  5. Step 5: Solve for x
    x = 278,777.41/626.14
  6. Step 6: Final answer
    x = 445.23

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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.