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Finding the Fourth Proportional to 399.26, 550.87 and 233.48

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Solution

The fourth proportional to 399.26, 550.87 and 233.48 is: 322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.26 : 550.87 = 233.48 : x
  2. Step 2: Convert to fraction form
    399.26/550.87 = 233.48/x
  3. Step 3: Cross multiply
    399.26x = 550.87 × 233.48
  4. Step 4: Simplify right side
    399.26x = 128,617.92
  5. Step 5: Solve for x
    x = 128,617.92/399.26
  6. Step 6: Final answer
    x = 322.14

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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.