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Finding the Fourth Proportional to 442.10, 662.58 and 236.76

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Solution

The fourth proportional to 442.10, 662.58 and 236.76 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.10 : 662.58 = 236.76 : x
  2. Step 2: Convert to fraction form
    442.10/662.58 = 236.76/x
  3. Step 3: Cross multiply
    442.10x = 662.58 × 236.76
  4. Step 4: Simplify right side
    442.10x = 156,872.44
  5. Step 5: Solve for x
    x = 156,872.44/442.10
  6. Step 6: Final answer
    x = 354.83

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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.