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Finding the Fourth Proportional to 399.31, 550.96 and 233.51

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Solution

The fourth proportional to 399.31, 550.96 and 233.51 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.31 : 550.96 = 233.51 : x
  2. Step 2: Convert to fraction form
    399.31/550.96 = 233.51/x
  3. Step 3: Cross multiply
    399.31x = 550.96 × 233.51
  4. Step 4: Simplify right side
    399.31x = 128,651.33
  5. Step 5: Solve for x
    x = 128,651.33/399.31
  6. Step 6: Final answer
    x = 322.19

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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.