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Finding the Fourth Proportional to 546.61, 820.26 and 238.47

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Solution

The fourth proportional to 546.61, 820.26 and 238.47 is: 357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.61 : 820.26 = 238.47 : x
  2. Step 2: Convert to fraction form
    546.61/820.26 = 238.47/x
  3. Step 3: Cross multiply
    546.61x = 820.26 × 238.47
  4. Step 4: Simplify right side
    546.61x = 195,607.40
  5. Step 5: Solve for x
    x = 195,607.40/546.61
  6. Step 6: Final answer
    x = 357.86

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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.