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Finding the Fourth Proportional to 396.31, 546.96 and 228.33

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Solution

The fourth proportional to 396.31, 546.96 and 228.33 is: 315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.31 : 546.96 = 228.33 : x
  2. Step 2: Convert to fraction form
    396.31/546.96 = 228.33/x
  3. Step 3: Cross multiply
    396.31x = 546.96 × 228.33
  4. Step 4: Simplify right side
    396.31x = 124,887.38
  5. Step 5: Solve for x
    x = 124,887.38/396.31
  6. Step 6: Final answer
    x = 315.13

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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.