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Finding the Fourth Proportional to 221.53, 330.64 and 206.95

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Solution

The fourth proportional to 221.53, 330.64 and 206.95 is: 308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.53 : 330.64 = 206.95 : x
  2. Step 2: Convert to fraction form
    221.53/330.64 = 206.95/x
  3. Step 3: Cross multiply
    221.53x = 330.64 × 206.95
  4. Step 4: Simplify right side
    221.53x = 68,426.77
  5. Step 5: Solve for x
    x = 68,426.77/221.53
  6. Step 6: Final answer
    x = 308.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.