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Finding the Fourth Proportional to 404.88, 606.78 and 274.65

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Solution

The fourth proportional to 404.88, 606.78 and 274.65 is: 411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.88 : 606.78 = 274.65 : x
  2. Step 2: Convert to fraction form
    404.88/606.78 = 274.65/x
  3. Step 3: Cross multiply
    404.88x = 606.78 × 274.65
  4. Step 4: Simplify right side
    404.88x = 166,652.13
  5. Step 5: Solve for x
    x = 166,652.13/404.88
  6. Step 6: Final answer
    x = 411.61

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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.