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Finding the Fourth Proportional to 442.22, 662.78 and 236.28

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Solution

The fourth proportional to 442.22, 662.78 and 236.28 is: 354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.22 : 662.78 = 236.28 : x
  2. Step 2: Convert to fraction form
    442.22/662.78 = 236.28/x
  3. Step 3: Cross multiply
    442.22x = 662.78 × 236.28
  4. Step 4: Simplify right side
    442.22x = 156,601.66
  5. Step 5: Solve for x
    x = 156,601.66/442.22
  6. Step 6: Final answer
    x = 354.13

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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.