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Finding the Fourth Proportional to 274.86, 409.46 and 270.27

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Solution

The fourth proportional to 274.86, 409.46 and 270.27 is: 402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 409.46 = 270.27 : x
  2. Step 2: Convert to fraction form
    274.86/409.46 = 270.27/x
  3. Step 3: Cross multiply
    274.86x = 409.46 × 270.27
  4. Step 4: Simplify right side
    274.86x = 110,663.40
  5. Step 5: Solve for x
    x = 110,663.40/274.86
  6. Step 6: Final answer
    x = 402.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.