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Finding the Fourth Proportional to 357.38, 535.46 and 280.84

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Solution

The fourth proportional to 357.38, 535.46 and 280.84 is: 420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.38 : 535.46 = 280.84 : x
  2. Step 2: Convert to fraction form
    357.38/535.46 = 280.84/x
  3. Step 3: Cross multiply
    357.38x = 535.46 × 280.84
  4. Step 4: Simplify right side
    357.38x = 150,378.59
  5. Step 5: Solve for x
    x = 150,378.59/357.38
  6. Step 6: Final answer
    x = 420.78

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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.