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Finding the Fourth Proportional to 399.30, 550.78 and 259.36

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Solution

The fourth proportional to 399.30, 550.78 and 259.36 is: 357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.30 : 550.78 = 259.36 : x
  2. Step 2: Convert to fraction form
    399.30/550.78 = 259.36/x
  3. Step 3: Cross multiply
    399.30x = 550.78 × 259.36
  4. Step 4: Simplify right side
    399.30x = 142,850.30
  5. Step 5: Solve for x
    x = 142,850.30/399.30
  6. Step 6: Final answer
    x = 357.75

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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.