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Finding the Fourth Proportional to 396.06, 546.62 and 228.08

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Solution

The fourth proportional to 396.06, 546.62 and 228.08 is: 314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.06 : 546.62 = 228.08 : x
  2. Step 2: Convert to fraction form
    396.06/546.62 = 228.08/x
  3. Step 3: Cross multiply
    396.06x = 546.62 × 228.08
  4. Step 4: Simplify right side
    396.06x = 124,669.22
  5. Step 5: Solve for x
    x = 124,669.22/396.06
  6. Step 6: Final answer
    x = 314.77

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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.