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Finding the Fourth Proportional to 406.07, 608.97 and 259.61

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Solution

The fourth proportional to 406.07, 608.97 and 259.61 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.07 : 608.97 = 259.61 : x
  2. Step 2: Convert to fraction form
    406.07/608.97 = 259.61/x
  3. Step 3: Cross multiply
    406.07x = 608.97 × 259.61
  4. Step 4: Simplify right side
    406.07x = 158,094.70
  5. Step 5: Solve for x
    x = 158,094.70/406.07
  6. Step 6: Final answer
    x = 389.33

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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.