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Finding the Fourth Proportional to 644.05, 965.98 and 205.30

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Solution

The fourth proportional to 644.05, 965.98 and 205.30 is: 307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.05 : 965.98 = 205.30 : x
  2. Step 2: Convert to fraction form
    644.05/965.98 = 205.30/x
  3. Step 3: Cross multiply
    644.05x = 965.98 × 205.30
  4. Step 4: Simplify right side
    644.05x = 198,310.86
  5. Step 5: Solve for x
    x = 198,310.86/644.05
  6. Step 6: Final answer
    x = 307.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.