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Finding the Fourth Proportional to 330.36, 455.74 and 199.27

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Solution

The fourth proportional to 330.36, 455.74 and 199.27 is: 274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.36 : 455.74 = 199.27 : x
  2. Step 2: Convert to fraction form
    330.36/455.74 = 199.27/x
  3. Step 3: Cross multiply
    330.36x = 455.74 × 199.27
  4. Step 4: Simplify right side
    330.36x = 90,815.31
  5. Step 5: Solve for x
    x = 90,815.31/330.36
  6. Step 6: Final answer
    x = 274.90

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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.