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Finding the Fourth Proportional to 450.78, 622.08 and 243.78

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Solution

The fourth proportional to 450.78, 622.08 and 243.78 is: 336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.78 : 622.08 = 243.78 : x
  2. Step 2: Convert to fraction form
    450.78/622.08 = 243.78/x
  3. Step 3: Cross multiply
    450.78x = 622.08 × 243.78
  4. Step 4: Simplify right side
    450.78x = 151,650.66
  5. Step 5: Solve for x
    x = 151,650.66/450.78
  6. Step 6: Final answer
    x = 336.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.