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Finding the Fourth Proportional to 546.50, 819.21 and 257.42

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Solution

The fourth proportional to 546.50, 819.21 and 257.42 is: 385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 819.21 = 257.42 : x
  2. Step 2: Convert to fraction form
    546.50/819.21 = 257.42/x
  3. Step 3: Cross multiply
    546.50x = 819.21 × 257.42
  4. Step 4: Simplify right side
    546.50x = 210,881.04
  5. Step 5: Solve for x
    x = 210,881.04/546.50
  6. Step 6: Final answer
    x = 385.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.