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Finding the Fourth Proportional to 399.09, 550.21 and 266.32

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Solution

The fourth proportional to 399.09, 550.21 and 266.32 is: 367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.09 : 550.21 = 266.32 : x
  2. Step 2: Convert to fraction form
    399.09/550.21 = 266.32/x
  3. Step 3: Cross multiply
    399.09x = 550.21 × 266.32
  4. Step 4: Simplify right side
    399.09x = 146,532.45
  5. Step 5: Solve for x
    x = 146,532.45/399.09
  6. Step 6: Final answer
    x = 367.16

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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.