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Finding the Fourth Proportional to 399.45, 550.66 and 282.81

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Solution

The fourth proportional to 399.45, 550.66 and 282.81 is: 389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.45 : 550.66 = 282.81 : x
  2. Step 2: Convert to fraction form
    399.45/550.66 = 282.81/x
  3. Step 3: Cross multiply
    399.45x = 550.66 × 282.81
  4. Step 4: Simplify right side
    399.45x = 155,732.15
  5. Step 5: Solve for x
    x = 155,732.15/399.45
  6. Step 6: Final answer
    x = 389.87

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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.