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Finding the Fourth Proportional to 289.16, 399.26 and 227.29

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Solution

The fourth proportional to 289.16, 399.26 and 227.29 is: 313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 399.26 = 227.29 : x
  2. Step 2: Convert to fraction form
    289.16/399.26 = 227.29/x
  3. Step 3: Cross multiply
    289.16x = 399.26 × 227.29
  4. Step 4: Simplify right side
    289.16x = 90,747.81
  5. Step 5: Solve for x
    x = 90,747.81/289.16
  6. Step 6: Final answer
    x = 313.83

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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.