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Finding the Fourth Proportional to 626.74, 939.28 and 280.16

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Solution

The fourth proportional to 626.74, 939.28 and 280.16 is: 419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.74 : 939.28 = 280.16 : x
  2. Step 2: Convert to fraction form
    626.74/939.28 = 280.16/x
  3. Step 3: Cross multiply
    626.74x = 939.28 × 280.16
  4. Step 4: Simplify right side
    626.74x = 263,148.68
  5. Step 5: Solve for x
    x = 263,148.68/626.74
  6. Step 6: Final answer
    x = 419.87

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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.