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Finding the Fourth Proportional to 396.10, 546.21 and 387.16

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Solution

The fourth proportional to 396.10, 546.21 and 387.16 is: 533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.10 : 546.21 = 387.16 : x
  2. Step 2: Convert to fraction form
    396.10/546.21 = 387.16/x
  3. Step 3: Cross multiply
    396.10x = 546.21 × 387.16
  4. Step 4: Simplify right side
    396.10x = 211,470.66
  5. Step 5: Solve for x
    x = 211,470.66/396.10
  6. Step 6: Final answer
    x = 533.88

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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.