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Finding the Fourth Proportional to 626.98, 940.90 and 280.70

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Solution

The fourth proportional to 626.98, 940.90 and 280.70 is: 421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.98 : 940.90 = 280.70 : x
  2. Step 2: Convert to fraction form
    626.98/940.90 = 280.70/x
  3. Step 3: Cross multiply
    626.98x = 940.90 × 280.70
  4. Step 4: Simplify right side
    626.98x = 264,110.63
  5. Step 5: Solve for x
    x = 264,110.63/626.98
  6. Step 6: Final answer
    x = 421.24

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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.