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Finding the Fourth Proportional to 330.42, 456.20 and 206.27

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Solution

The fourth proportional to 330.42, 456.20 and 206.27 is: 284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.42 : 456.20 = 206.27 : x
  2. Step 2: Convert to fraction form
    330.42/456.20 = 206.27/x
  3. Step 3: Cross multiply
    330.42x = 456.20 × 206.27
  4. Step 4: Simplify right side
    330.42x = 94,099.55
  5. Step 5: Solve for x
    x = 94,099.55/330.42
  6. Step 6: Final answer
    x = 284.78

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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.