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Finding the Fourth Proportional to 409.76, 613.38 and 270.78

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Solution

The fourth proportional to 409.76, 613.38 and 270.78 is: 405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 613.38 = 270.78 : x
  2. Step 2: Convert to fraction form
    409.76/613.38 = 270.78/x
  3. Step 3: Cross multiply
    409.76x = 613.38 × 270.78
  4. Step 4: Simplify right side
    409.76x = 166,091.04
  5. Step 5: Solve for x
    x = 166,091.04/409.76
  6. Step 6: Final answer
    x = 405.34

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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.