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Finding the Fourth Proportional to 399.09, 550.53 and 259.14

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Solution

The fourth proportional to 399.09, 550.53 and 259.14 is: 357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.09 : 550.53 = 259.14 : x
  2. Step 2: Convert to fraction form
    399.09/550.53 = 259.14/x
  3. Step 3: Cross multiply
    399.09x = 550.53 × 259.14
  4. Step 4: Simplify right side
    399.09x = 142,664.34
  5. Step 5: Solve for x
    x = 142,664.34/399.09
  6. Step 6: Final answer
    x = 357.47

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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.