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Finding the Fourth Proportional to 396.06, 546.66 and 265.20

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Solution

The fourth proportional to 396.06, 546.66 and 265.20 is: 366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.06 : 546.66 = 265.20 : x
  2. Step 2: Convert to fraction form
    396.06/546.66 = 265.20/x
  3. Step 3: Cross multiply
    396.06x = 546.66 × 265.20
  4. Step 4: Simplify right side
    396.06x = 144,974.23
  5. Step 5: Solve for x
    x = 144,974.23/396.06
  6. Step 6: Final answer
    x = 366.04

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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.