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Finding the Fourth Proportional to 228.57, 344.45 and 206.97

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Solution

The fourth proportional to 228.57, 344.45 and 206.97 is: 311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.57 : 344.45 = 206.97 : x
  2. Step 2: Convert to fraction form
    228.57/344.45 = 206.97/x
  3. Step 3: Cross multiply
    228.57x = 344.45 × 206.97
  4. Step 4: Simplify right side
    228.57x = 71,289.78
  5. Step 5: Solve for x
    x = 71,289.78/228.57
  6. Step 6: Final answer
    x = 311.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.