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Finding the Fourth Proportional to 404.90, 606.31 and 274.70

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Solution

The fourth proportional to 404.90, 606.31 and 274.70 is: 411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.90 : 606.31 = 274.70 : x
  2. Step 2: Convert to fraction form
    404.90/606.31 = 274.70/x
  3. Step 3: Cross multiply
    404.90x = 606.31 × 274.70
  4. Step 4: Simplify right side
    404.90x = 166,553.36
  5. Step 5: Solve for x
    x = 166,553.36/404.90
  6. Step 6: Final answer
    x = 411.34

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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.