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Finding the Fourth Proportional to 330.27, 455.87 and 205.85

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Solution

The fourth proportional to 330.27, 455.87 and 205.85 is: 284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.27 : 455.87 = 205.85 : x
  2. Step 2: Convert to fraction form
    330.27/455.87 = 205.85/x
  3. Step 3: Cross multiply
    330.27x = 455.87 × 205.85
  4. Step 4: Simplify right side
    330.27x = 93,840.84
  5. Step 5: Solve for x
    x = 93,840.84/330.27
  6. Step 6: Final answer
    x = 284.13

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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.