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Finding the Fourth Proportional to 257.73, 384.59 and 221.15

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Solution

The fourth proportional to 257.73, 384.59 and 221.15 is: 329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.73 : 384.59 = 221.15 : x
  2. Step 2: Convert to fraction form
    257.73/384.59 = 221.15/x
  3. Step 3: Cross multiply
    257.73x = 384.59 × 221.15
  4. Step 4: Simplify right side
    257.73x = 85,049.05
  5. Step 5: Solve for x
    x = 85,049.05/257.73
  6. Step 6: Final answer
    x = 329.99

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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.