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Finding the Fourth Proportional to 546.83, 820.24 and 234.43

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Solution

The fourth proportional to 546.83, 820.24 and 234.43 is: 351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.83 : 820.24 = 234.43 : x
  2. Step 2: Convert to fraction form
    546.83/820.24 = 234.43/x
  3. Step 3: Cross multiply
    546.83x = 820.24 × 234.43
  4. Step 4: Simplify right side
    546.83x = 192,288.86
  5. Step 5: Solve for x
    x = 192,288.86/546.83
  6. Step 6: Final answer
    x = 351.64

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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.