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Finding the Fourth Proportional to 399.31, 550.80 and 294.67

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Solution

The fourth proportional to 399.31, 550.80 and 294.67 is: 406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.31 : 550.80 = 294.67 : x
  2. Step 2: Convert to fraction form
    399.31/550.80 = 294.67/x
  3. Step 3: Cross multiply
    399.31x = 550.80 × 294.67
  4. Step 4: Simplify right side
    399.31x = 162,304.24
  5. Step 5: Solve for x
    x = 162,304.24/399.31
  6. Step 6: Final answer
    x = 406.46

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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.