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Finding the Fourth Proportional to 330.31, 455.50 and 212.27

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Solution

The fourth proportional to 330.31, 455.50 and 212.27 is: 292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.31 : 455.50 = 212.27 : x
  2. Step 2: Convert to fraction form
    330.31/455.50 = 212.27/x
  3. Step 3: Cross multiply
    330.31x = 455.50 × 212.27
  4. Step 4: Simplify right side
    330.31x = 96,686.97
  5. Step 5: Solve for x
    x = 96,686.97/330.31
  6. Step 6: Final answer
    x = 292.71

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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.