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Finding the Fourth Proportional to 349.78, 523.96 and 280.94

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Solution

The fourth proportional to 349.78, 523.96 and 280.94 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.78 : 523.96 = 280.94 : x
  2. Step 2: Convert to fraction form
    349.78/523.96 = 280.94/x
  3. Step 3: Cross multiply
    349.78x = 523.96 × 280.94
  4. Step 4: Simplify right side
    349.78x = 147,201.32
  5. Step 5: Solve for x
    x = 147,201.32/349.78
  6. Step 6: Final answer
    x = 420.84

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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.