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Finding the Fourth Proportional to 626.74, 940.50 and 280.06

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Solution

The fourth proportional to 626.74, 940.50 and 280.06 is: 420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.74 : 940.50 = 280.06 : x
  2. Step 2: Convert to fraction form
    626.74/940.50 = 280.06/x
  3. Step 3: Cross multiply
    626.74x = 940.50 × 280.06
  4. Step 4: Simplify right side
    626.74x = 263,396.43
  5. Step 5: Solve for x
    x = 263,396.43/626.74
  6. Step 6: Final answer
    x = 420.26

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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.