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Finding the Fourth Proportional to 289.40, 399.02 and 226.68

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Solution

The fourth proportional to 289.40, 399.02 and 226.68 is: 312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.40 : 399.02 = 226.68 : x
  2. Step 2: Convert to fraction form
    289.40/399.02 = 226.68/x
  3. Step 3: Cross multiply
    289.40x = 399.02 × 226.68
  4. Step 4: Simplify right side
    289.40x = 90,449.85
  5. Step 5: Solve for x
    x = 90,449.85/289.40
  6. Step 6: Final answer
    x = 312.54

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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.