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Finding the Fourth Proportional to 399.21, 550.40 and 259.08

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Solution

The fourth proportional to 399.21, 550.40 and 259.08 is: 357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.21 : 550.40 = 259.08 : x
  2. Step 2: Convert to fraction form
    399.21/550.40 = 259.08/x
  3. Step 3: Cross multiply
    399.21x = 550.40 × 259.08
  4. Step 4: Simplify right side
    399.21x = 142,596.34
  5. Step 5: Solve for x
    x = 142,596.34/399.21
  6. Step 6: Final answer
    x = 357.20

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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.