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Finding the Fourth Proportional to 406.70, 609.07 and 259.98

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Solution

The fourth proportional to 406.70, 609.07 and 259.98 is: 389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.70 : 609.07 = 259.98 : x
  2. Step 2: Convert to fraction form
    406.70/609.07 = 259.98/x
  3. Step 3: Cross multiply
    406.70x = 609.07 × 259.98
  4. Step 4: Simplify right side
    406.70x = 158,348.71
  5. Step 5: Solve for x
    x = 158,348.71/406.70
  6. Step 6: Final answer
    x = 389.35

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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.