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Finding the Fourth Proportional to 546.78, 819.67 and 217.93

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Solution

The fourth proportional to 546.78, 819.67 and 217.93 is: 326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 819.67 = 217.93 : x
  2. Step 2: Convert to fraction form
    546.78/819.67 = 217.93/x
  3. Step 3: Cross multiply
    546.78x = 819.67 × 217.93
  4. Step 4: Simplify right side
    546.78x = 178,632.34
  5. Step 5: Solve for x
    x = 178,632.34/546.78
  6. Step 6: Final answer
    x = 326.70

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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.