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Finding the Fourth Proportional to 406.90, 610.44 and 260.59

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Solution

The fourth proportional to 406.90, 610.44 and 260.59 is: 390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.90 : 610.44 = 260.59 : x
  2. Step 2: Convert to fraction form
    406.90/610.44 = 260.59/x
  3. Step 3: Cross multiply
    406.90x = 610.44 × 260.59
  4. Step 4: Simplify right side
    406.90x = 159,074.56
  5. Step 5: Solve for x
    x = 159,074.56/406.90
  6. Step 6: Final answer
    x = 390.94

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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.