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Finding the Fourth Proportional to 546.59, 820.26 and 238.27

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Solution

The fourth proportional to 546.59, 820.26 and 238.27 is: 357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.59 : 820.26 = 238.27 : x
  2. Step 2: Convert to fraction form
    546.59/820.26 = 238.27/x
  3. Step 3: Cross multiply
    546.59x = 820.26 × 238.27
  4. Step 4: Simplify right side
    546.59x = 195,440.20
  5. Step 5: Solve for x
    x = 195,440.20/546.59
  6. Step 6: Final answer
    x = 357.56

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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.