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Finding the Fourth Proportional to 330.57, 455.74 and 271.33

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Solution

The fourth proportional to 330.57, 455.74 and 271.33 is: 374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.57 : 455.74 = 271.33 : x
  2. Step 2: Convert to fraction form
    330.57/455.74 = 271.33/x
  3. Step 3: Cross multiply
    330.57x = 455.74 × 271.33
  4. Step 4: Simplify right side
    330.57x = 123,654.12
  5. Step 5: Solve for x
    x = 123,654.12/330.57
  6. Step 6: Final answer
    x = 374.06

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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.