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Finding the Fourth Proportional to 546.87, 820.34 and 181.66

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Solution

The fourth proportional to 546.87, 820.34 and 181.66 is: 272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.87 : 820.34 = 181.66 : x
  2. Step 2: Convert to fraction form
    546.87/820.34 = 181.66/x
  3. Step 3: Cross multiply
    546.87x = 820.34 × 181.66
  4. Step 4: Simplify right side
    546.87x = 149,022.96
  5. Step 5: Solve for x
    x = 149,022.96/546.87
  6. Step 6: Final answer
    x = 272.50

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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.