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Finding the Fourth Proportional to 349.56, 523.66 and 280.78

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Solution

The fourth proportional to 349.56, 523.66 and 280.78 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.56 : 523.66 = 280.78 : x
  2. Step 2: Convert to fraction form
    349.56/523.66 = 280.78/x
  3. Step 3: Cross multiply
    349.56x = 523.66 × 280.78
  4. Step 4: Simplify right side
    349.56x = 147,033.25
  5. Step 5: Solve for x
    x = 147,033.25/349.56
  6. Step 6: Final answer
    x = 420.62

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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.