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Finding the Fourth Proportional to 399, 550.67 and 233.33

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Solution

The fourth proportional to 399, 550.67 and 233.33 is: 322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    399 : 550.67 = 233.33 : x
  2. Step 2: Convert to fraction form
    399/550.67 = 233.33/x
  3. Step 3: Cross multiply
    399x = 550.67 × 233.33
  4. Step 4: Simplify right side
    399x = 128,485.66
  5. Step 5: Solve for x
    x = 128,485.66/399
  6. Step 6: Final answer
    x = 322.02

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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.