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Finding the Fourth Proportional to 399.58, 550.88 and 310.94

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Solution

The fourth proportional to 399.58, 550.88 and 310.94 is: 428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.58 : 550.88 = 310.94 : x
  2. Step 2: Convert to fraction form
    399.58/550.88 = 310.94/x
  3. Step 3: Cross multiply
    399.58x = 550.88 × 310.94
  4. Step 4: Simplify right side
    399.58x = 171,287.87
  5. Step 5: Solve for x
    x = 171,287.87/399.58
  6. Step 6: Final answer
    x = 428.68

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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.