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Finding the Fourth Proportional to 404.70, 606.78 and 260.52

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Solution

The fourth proportional to 404.70, 606.78 and 260.52 is: 390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.70 : 606.78 = 260.52 : x
  2. Step 2: Convert to fraction form
    404.70/606.78 = 260.52/x
  3. Step 3: Cross multiply
    404.70x = 606.78 × 260.52
  4. Step 4: Simplify right side
    404.70x = 158,078.33
  5. Step 5: Solve for x
    x = 158,078.33/404.70
  6. Step 6: Final answer
    x = 390.61

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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.