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Finding the Fourth Proportional to 441.60, 662.50 and 181.55

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Solution

The fourth proportional to 441.60, 662.50 and 181.55 is: 272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.60 : 662.50 = 181.55 : x
  2. Step 2: Convert to fraction form
    441.60/662.50 = 181.55/x
  3. Step 3: Cross multiply
    441.60x = 662.50 × 181.55
  4. Step 4: Simplify right side
    441.60x = 120,280.20
  5. Step 5: Solve for x
    x = 120,280.20/441.60
  6. Step 6: Final answer
    x = 272.37

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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.