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Finding the Fourth Proportional to 399.14, 550.44 and 259.11

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Solution

The fourth proportional to 399.14, 550.44 and 259.11 is: 357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.14 : 550.44 = 259.11 : x
  2. Step 2: Convert to fraction form
    399.14/550.44 = 259.11/x
  3. Step 3: Cross multiply
    399.14x = 550.44 × 259.11
  4. Step 4: Simplify right side
    399.14x = 142,624.51
  5. Step 5: Solve for x
    x = 142,624.51/399.14
  6. Step 6: Final answer
    x = 357.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.