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Finding the Fourth Proportional to 289.26, 399.01 and 206.48

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Solution

The fourth proportional to 289.26, 399.01 and 206.48 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.26 : 399.01 = 206.48 : x
  2. Step 2: Convert to fraction form
    289.26/399.01 = 206.48/x
  3. Step 3: Cross multiply
    289.26x = 399.01 × 206.48
  4. Step 4: Simplify right side
    289.26x = 82,384.56
  5. Step 5: Solve for x
    x = 82,384.56/289.26
  6. Step 6: Final answer
    x = 284.82

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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.