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Finding the Fourth Proportional to 546.50, 818.46 and 271.71

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Solution

The fourth proportional to 546.50, 818.46 and 271.71 is: 406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 818.46 = 271.71 : x
  2. Step 2: Convert to fraction form
    546.50/818.46 = 271.71/x
  3. Step 3: Cross multiply
    546.50x = 818.46 × 271.71
  4. Step 4: Simplify right side
    546.50x = 222,383.77
  5. Step 5: Solve for x
    x = 222,383.77/546.50
  6. Step 6: Final answer
    x = 406.93

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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.