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Finding the Fourth Proportional to 289.57, 399.36 and 226.57

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Solution

The fourth proportional to 289.57, 399.36 and 226.57 is: 312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.57 : 399.36 = 226.57 : x
  2. Step 2: Convert to fraction form
    289.57/399.36 = 226.57/x
  3. Step 3: Cross multiply
    289.57x = 399.36 × 226.57
  4. Step 4: Simplify right side
    289.57x = 90,483.00
  5. Step 5: Solve for x
    x = 90,483.00/289.57
  6. Step 6: Final answer
    x = 312.47

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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.