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Finding the Fourth Proportional to 626.50, 938.92 and 279.94

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Solution

The fourth proportional to 626.50, 938.92 and 279.94 is: 419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.50 : 938.92 = 279.94 : x
  2. Step 2: Convert to fraction form
    626.50/938.92 = 279.94/x
  3. Step 3: Cross multiply
    626.50x = 938.92 × 279.94
  4. Step 4: Simplify right side
    626.50x = 262,841.26
  5. Step 5: Solve for x
    x = 262,841.26/626.50
  6. Step 6: Final answer
    x = 419.54

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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.