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Finding the Fourth Proportional to 399.76, 550.76 and 299.74

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Solution

The fourth proportional to 399.76, 550.76 and 299.74 is: 412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.76 : 550.76 = 299.74 : x
  2. Step 2: Convert to fraction form
    399.76/550.76 = 299.74/x
  3. Step 3: Cross multiply
    399.76x = 550.76 × 299.74
  4. Step 4: Simplify right side
    399.76x = 165,084.80
  5. Step 5: Solve for x
    x = 165,084.80/399.76
  6. Step 6: Final answer
    x = 412.96

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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.